Greatest Common Factor of 6996/878, 6640/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6996/878, 6640/635

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 6996/878,6640/635

Given fractions are 6996/878,6640/635

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 6996,6640

Greatest Common Factor of Numerators i.e. GCF of 6996,6640 is 4 .

LCM of Denominators means LCM of 878,635 as per the given fractions.

LCM of 878,635 is 557530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6996,6640

GCF of Fractions 6996/878,6640/635 is 4/557530

2 6996, 6640
2 3498, 3320
1749, 1660

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

Greatest Common Factor of 6996,6640 By Matching Biggest Common Factor Method

Greatest Common Factor of 6996,6640 By Matching Biggest Common Factor Method

Factors of 6996

List of positive integer factors of 6996 that divides 6996 without a remainder.

1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996

Factors of 6640

List of positive integer factors of 6640 that divides 6640 without a remainder.

1,2,4,5,8,10,16,20,40,80,83,166,332,415,664,830,1328,1660,3320,6640

Greatest Common Factor

We found the factors 6996,6640 . The biggest common factor number is the GCF number.
So the greatest common factor 6996,6640 is 4.

Lets's calculate LCM of 878,635

Given numbers has no common factors except 1. So, there LCM is their product i.e 557530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/557530

Therefore, the GCF of Fractions 6996/878,6640/635 is 4/557530

Least Common Multiple of 878,635 with GCF Formula

Least Common Multiple of 878,635 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 878,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,635) = 1

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

GCF(878,635) x common factors =1 x 1 = 1

LCM(878,635) = ( 878 × 635 ) / 1

LCM(878,635) = 557530 / 1

LCM(878,635) = 557530


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 6996/878, 6640/635

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 6996/878, 6640/635?

Answer: GCF of Numerators as per given numbers 6996/878, 6640/635 is

GCF of Numerators i.e. for 6996,6640 is 4

LCM of denominators i.e. for 878,635 is 557530.

Thus, GCF of Fractions is 4/557530.Finally, GCF of Fractions for 6996/878, 6640/635 is 4/557530.