Greatest Common Factor of 832/6349, 656/6661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 832/6349, 656/6661

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 832/6349,656/6661

Given fractions are 832/6349,656/6661

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 832,656

Greatest Common Factor of Numerators i.e. GCF of 832,656 is 16 .

LCM of Denominators means LCM of 6349,6661 as per the given fractions.

LCM of 6349,6661 is 42290689 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 832,656

GCF of Fractions 832/6349,656/6661 is 16/42290689

2 832, 656
2 416, 328
2 208, 164
2 104, 82
52, 41

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 832,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,656 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 832,656 . The biggest common factor number is the GCF number.
So the greatest common factor 832,656 is 16.

Lets's calculate LCM of 6349,6661

Given numbers has no common factors except 1. So, there LCM is their product i.e 42290689

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/42290689

Therefore, the GCF of Fractions 832/6349,656/6661 is 16/42290689

Least Common Multiple of 6349,6661 with GCF Formula

Least Common Multiple of 6349,6661 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 6349,6661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6349,6661) = 1

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

GCF(6349,6661) x common factors =1 x 1 = 1

LCM(6349,6661) = ( 6349 × 6661 ) / 1

LCM(6349,6661) = 42290689 / 1

LCM(6349,6661) = 42290689


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 832/6349, 656/6661

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 832/6349, 656/6661?

Answer: GCF of Numerators as per given numbers 832/6349, 656/6661 is

GCF of Numerators i.e. for 832,656 is 16

LCM of denominators i.e. for 6349,6661 is 42290689.

Thus, GCF of Fractions is 16/42290689.Finally, GCF of Fractions for 832/6349, 656/6661 is 16/42290689.