Greatest Common Factor of 6996/347, 1134/9939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6996/347, 1134/9939

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 6996/347,1134/9939

Given fractions are 6996/347,1134/9939

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 6996,1134

Greatest Common Factor of Numerators i.e. GCF of 6996,1134 is 6 .

LCM of Denominators means LCM of 347,9939 as per the given fractions.

LCM of 347,9939 is 3448833 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6996,1134

GCF of Fractions 6996/347,1134/9939 is 6/3448833

2 6996, 1134
3 3498, 567
1166, 189

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6996,1134 By Matching Biggest Common Factor Method

Greatest Common Factor of 6996,1134 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 1134

List of positive integer factors of 1134 that divides 1134 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,81,126,162,189,378,567,1134

Greatest Common Factor

We found the factors 6996,1134 . The biggest common factor number is the GCF number.
So the greatest common factor 6996,1134 is 6.

Lets's calculate LCM of 347,9939

Given numbers has no common factors except 1. So, there LCM is their product i.e 3448833

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3448833

Therefore, the GCF of Fractions 6996/347,1134/9939 is 6/3448833

Least Common Multiple of 347,9939 with GCF Formula

Least Common Multiple of 347,9939 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 347,9939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,9939) = 1

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

GCF(347,9939) x common factors =1 x 1 = 1

LCM(347,9939) = ( 347 × 9939 ) / 1

LCM(347,9939) = 3448833 / 1

LCM(347,9939) = 3448833


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 6996/347, 1134/9939

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 6996/347, 1134/9939?

Answer: GCF of Numerators as per given numbers 6996/347, 1134/9939 is

GCF of Numerators i.e. for 6996,1134 is 6

LCM of denominators i.e. for 347,9939 is 3448833.

Thus, GCF of Fractions is 6/3448833.Finally, GCF of Fractions for 6996/347, 1134/9939 is 6/3448833.