Greatest Common Factor of 836/892, 6712/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 836/892, 6712/635

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 836/892,6712/635

Given fractions are 836/892,6712/635

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 836,6712

Greatest Common Factor of Numerators i.e. GCF of 836,6712 is 4 .

LCM of Denominators means LCM of 892,635 as per the given fractions.

LCM of 892,635 is 566420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 836,6712

GCF of Fractions 836/892,6712/635 is 4/566420

2 836, 6712
2 418, 3356
209, 1678

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 836,6712 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,6712 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 6712

List of positive integer factors of 6712 that divides 6712 without a remainder.

1,2,4,8,839,1678,3356,6712

Greatest Common Factor

We found the factors 836,6712 . The biggest common factor number is the GCF number.
So the greatest common factor 836,6712 is 4.

Lets's calculate LCM of 892,635

Given numbers has no common factors except 1. So, there LCM is their product i.e 566420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/566420

Therefore, the GCF of Fractions 836/892,6712/635 is 4/566420

Least Common Multiple of 892,635 with GCF Formula

Least Common Multiple of 892,635 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 892,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,635) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(892,635) x common factors =1 x 1 = 1

LCM(892,635) = ( 892 × 635 ) / 1

LCM(892,635) = 566420 / 1

LCM(892,635) = 566420


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 836/892, 6712/635

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 836/892, 6712/635?

Answer: GCF of Numerators as per given numbers 836/892, 6712/635 is

GCF of Numerators i.e. for 836,6712 is 4

LCM of denominators i.e. for 892,635 is 566420.

Thus, GCF of Fractions is 4/566420.Finally, GCF of Fractions for 836/892, 6712/635 is 4/566420.