Greatest Common Factor of 3114/721, 7659/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3114/721, 7659/994

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 3114/721,7659/994

Given fractions are 3114/721,7659/994

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 3114,7659

Greatest Common Factor of Numerators i.e. GCF of 3114,7659 is 9 .

LCM of Denominators means LCM of 721,994 as per the given fractions.

LCM of 721,994 is 102382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3114,7659

GCF of Fractions 3114/721,7659/994 is 9/102382

3 3114, 7659
3 1038, 2553
346, 851

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 3114,7659 By Matching Biggest Common Factor Method

Greatest Common Factor of 3114,7659 By Matching Biggest Common Factor Method

Factors of 3114

List of positive integer factors of 3114 that divides 3114 without a remainder.

1,2,3,6,9,18,173,346,519,1038,1557,3114

Factors of 7659

List of positive integer factors of 7659 that divides 7659 without a remainder.

1,3,9,23,37,69,111,207,333,851,2553,7659

Greatest Common Factor

We found the factors 3114,7659 . The biggest common factor number is the GCF number.
So the greatest common factor 3114,7659 is 9.

Lets's calculate LCM of 721,994

7 721, 994
103, 142

∴ So the LCM of the given numbers is 7 x 103 x 142 = 102382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/102382

Therefore, the GCF of Fractions 3114/721,7659/994 is 9/102382

Least Common Multiple of 721,994 with GCF Formula

Least Common Multiple of 721,994 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 721,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,994) = 7

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

GCF(721,994) x common factors =7 x 1 = 7

LCM(721,994) = ( 721 × 994 ) / 7

LCM(721,994) = 716674 / 7

LCM(721,994) = 102382


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 3114/721, 7659/994

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 3114/721, 7659/994?

Answer: GCF of Numerators as per given numbers 3114/721, 7659/994 is

GCF of Numerators i.e. for 3114,7659 is 9

LCM of denominators i.e. for 721,994 is 102382.

Thus, GCF of Fractions is 9/102382.Finally, GCF of Fractions for 3114/721, 7659/994 is 9/102382.