Greatest Common Factor of 7822/312, 6032/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7822/312, 6032/902

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 7822/312,6032/902

Given fractions are 7822/312,6032/902

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 7822,6032

Greatest Common Factor of Numerators i.e. GCF of 7822,6032 is 2 .

LCM of Denominators means LCM of 312,902 as per the given fractions.

LCM of 312,902 is 140712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7822,6032

GCF of Fractions 7822/312,6032/902 is 2/140712

2 7822, 6032
3911, 3016

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

Greatest Common Factor of 7822,6032 By Matching Biggest Common Factor Method

Greatest Common Factor of 7822,6032 By Matching Biggest Common Factor Method

Factors of 7822

List of positive integer factors of 7822 that divides 7822 without a remainder.

1,2,3911,7822

Factors of 6032

List of positive integer factors of 6032 that divides 6032 without a remainder.

1,2,4,8,13,16,26,29,52,58,104,116,208,232,377,464,754,1508,3016,6032

Greatest Common Factor

We found the factors 7822,6032 . The biggest common factor number is the GCF number.
So the greatest common factor 7822,6032 is 2.

Lets's calculate LCM of 312,902

2 312, 902
156, 451

∴ So the LCM of the given numbers is 2 x 156 x 451 = 140712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/140712

Therefore, the GCF of Fractions 7822/312,6032/902 is 2/140712

Least Common Multiple of 312,902 with GCF Formula

Least Common Multiple of 312,902 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 312,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,902) = 2

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

GCF(312,902) x common factors =2 x 1 = 2

LCM(312,902) = ( 312 × 902 ) / 2

LCM(312,902) = 281424 / 2

LCM(312,902) = 140712


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 7822/312, 6032/902

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 7822/312, 6032/902?

Answer: GCF of Numerators as per given numbers 7822/312, 6032/902 is

GCF of Numerators i.e. for 7822,6032 is 2

LCM of denominators i.e. for 312,902 is 140712.

Thus, GCF of Fractions is 2/140712.Finally, GCF of Fractions for 7822/312, 6032/902 is 2/140712.