GCF the 8 and also 36 is the largest feasible number that divides 8 and also 36 specifically without any remainder. The components of 8 and 36 are 1, 2, 4, 8 and also 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively. There space 3 typically used approaches to find the GCF of 8 and also 36 - prime factorization, Euclidean algorithm, and also long division.
You are watching: What is the greatest common factor of 8 and 36?
| 1. | GCF that 8 and also 36 |
| 2. | List of Methods |
| 3. | Solved Examples |
| 4. | FAQs |
Answer: GCF the 8 and also 36 is 4.
Explanation:
The GCF of 2 non-zero integers, x(8) and also y(36), is the greatest positive essence m(4) the divides both x(8) and also y(36) without any remainder.
Let's look at the different methods for finding the GCF of 8 and also 36.
Listing typical FactorsPrime administrate MethodLong division MethodGCF that 8 and also 36 by Listing usual Factors
There are 3 usual factors the 8 and 36, that room 1, 2, and 4. Therefore, the greatest usual factor of 8 and also 36 is 4.
GCF the 8 and also 36 by prime Factorization
Prime administer of 8 and 36 is (2 × 2 × 2) and (2 × 2 × 3 × 3) respectively. Together visible, 8 and also 36 have typical prime factors. Hence, the GCF the 8 and 36 is 2 × 2 = 4.
GCF the 8 and 36 by long Division
GCF the 8 and also 36 is the divisor that we get when the remainder i do not care 0 after ~ doing long department repeatedly.
Step 2: due to the fact that the remainder ≠ 0, we will divide the divisor of action 1 (8) by the remainder (4).Step 3: Repeat this process until the remainder = 0.The equivalent divisor (4) is the GCF of 8 and also 36.
☛ additionally Check:
GCF the 8 and also 36 Examples
Example 1: For two numbers, GCF = 4 and also LCM = 72. If one number is 8, uncover the various other number.
Solution:
Given: GCF (z, 8) = 4 and LCM (z, 8) = 72∵ GCF × LCM = 8 × (z)⇒ z = (GCF × LCM)/8⇒ z = (4 × 72)/8⇒ z = 36Therefore, the various other number is 36.
Example 2: uncover the GCF of 8 and 36, if your LCM is 72.
Solution:
∵ LCM × GCF = 8 × 36⇒ GCF(8, 36) = (8 × 36)/72 = 4Therefore, the greatest typical factor of 8 and also 36 is 4.
Example 3: uncover the greatest number the divides 8 and 36 exactly.
Solution:
The greatest number that divides 8 and 36 exactly is their greatest usual factor, i.e. GCF the 8 and 36.⇒ factors of 8 and 36:
Factors the 8 = 1, 2, 4, 8Factors that 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36Therefore, the GCF the 8 and also 36 is 4.
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FAQs ~ above GCF of 8 and also 36
What is the GCF that 8 and 36?
The GCF that 8 and 36 is 4. To calculation the greatest usual factor (GCF) that 8 and 36, we need to variable each number (factors the 8 = 1, 2, 4, 8; factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and choose the greatest aspect that specifically divides both 8 and 36, i.e., 4.
If the GCF that 36 and also 8 is 4, find its LCM.
GCF(36, 8) × LCM(36, 8) = 36 × 8Since the GCF that 36 and 8 = 4⇒ 4 × LCM(36, 8) = 288Therefore, LCM = 72☛ GCF Calculator
How to find the GCF of 8 and also 36 by prime Factorization?
To uncover the GCF of 8 and also 36, we will uncover the prime factorization of the provided numbers, i.e. 8 = 2 × 2 × 2; 36 = 2 × 2 × 3 × 3.⇒ due to the fact that 2, 2 are typical terms in the prime factorization of 8 and 36. Hence, GCF(8, 36) = 2 × 2 = 4☛ element Number
What is the Relation between LCM and also GCF the 8, 36?
The adhering to equation have the right to be offered to express the relation in between LCM (Least usual Multiple) and GCF that 8 and 36, i.e. GCF × LCM = 8 × 36.
What are the methods to discover GCF the 8 and 36?
There space three typically used methods to discover the GCF the 8 and also 36.
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How to find the GCF the 8 and 36 by Long department Method?
To discover the GCF the 8, 36 making use of long department method, 36 is separated by 8. The matching divisor (4) as soon as remainder equates to 0 is taken as GCF.