Greatest Common Factor of 6976/403, 6672/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6976/403, 6672/847

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 6976/403,6672/847

Given fractions are 6976/403,6672/847

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 6976,6672

Greatest Common Factor of Numerators i.e. GCF of 6976,6672 is 16 .

LCM of Denominators means LCM of 403,847 as per the given fractions.

LCM of 403,847 is 341341 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6976,6672

GCF of Fractions 6976/403,6672/847 is 16/341341

2 6976, 6672
2 3488, 3336
2 1744, 1668
2 872, 834
436, 417

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

Greatest Common Factor of 6976,6672 By Matching Biggest Common Factor Method

Greatest Common Factor of 6976,6672 By Matching Biggest Common Factor Method

Factors of 6976

List of positive integer factors of 6976 that divides 6976 without a remainder.

1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976

Factors of 6672

List of positive integer factors of 6672 that divides 6672 without a remainder.

1,2,3,4,6,8,12,16,24,48,139,278,417,556,834,1112,1668,2224,3336,6672

Greatest Common Factor

We found the factors 6976,6672 . The biggest common factor number is the GCF number.
So the greatest common factor 6976,6672 is 16.

Lets's calculate LCM of 403,847

Given numbers has no common factors except 1. So, there LCM is their product i.e 341341

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/341341

Therefore, the GCF of Fractions 6976/403,6672/847 is 16/341341

Least Common Multiple of 403,847 with GCF Formula

Least Common Multiple of 403,847 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 403,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,847) = 1

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

GCF(403,847) x common factors =1 x 1 = 1

LCM(403,847) = ( 403 × 847 ) / 1

LCM(403,847) = 341341 / 1

LCM(403,847) = 341341


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 6976/403, 6672/847

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 6976/403, 6672/847?

Answer: GCF of Numerators as per given numbers 6976/403, 6672/847 is

GCF of Numerators i.e. for 6976,6672 is 16

LCM of denominators i.e. for 403,847 is 341341.

Thus, GCF of Fractions is 16/341341.Finally, GCF of Fractions for 6976/403, 6672/847 is 16/341341.