Greatest Common Factor of 7898/14, 2032/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7898/14, 2032/902

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 7898/14,2032/902

Given fractions are 7898/14,2032/902

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 7898,2032

Greatest Common Factor of Numerators i.e. GCF of 7898,2032 is 2 .

LCM of Denominators means LCM of 14,902 as per the given fractions.

LCM of 14,902 is 6314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7898,2032

GCF of Fractions 7898/14,2032/902 is 2/6314

2 7898, 2032
3949, 1016

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

Greatest Common Factor of 7898,2032 By Matching Biggest Common Factor Method

Greatest Common Factor of 7898,2032 By Matching Biggest Common Factor Method

Factors of 7898

List of positive integer factors of 7898 that divides 7898 without a remainder.

1,2,11,22,359,718,3949,7898

Factors of 2032

List of positive integer factors of 2032 that divides 2032 without a remainder.

1,2,4,8,16,127,254,508,1016,2032

Greatest Common Factor

We found the factors 7898,2032 . The biggest common factor number is the GCF number.
So the greatest common factor 7898,2032 is 2.

Lets's calculate LCM of 14,902

2 14, 902
7, 451

∴ So the LCM of the given numbers is 2 x 7 x 451 = 6314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6314

Therefore, the GCF of Fractions 7898/14,2032/902 is 2/6314

Least Common Multiple of 14,902 with GCF Formula

Least Common Multiple of 14,902 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 14,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,902) = 2

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

GCF(14,902) x common factors =2 x 1 = 2

LCM(14,902) = ( 14 × 902 ) / 2

LCM(14,902) = 12628 / 2

LCM(14,902) = 6314


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 7898/14, 2032/902

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 7898/14, 2032/902?

Answer: GCF of Numerators as per given numbers 7898/14, 2032/902 is

GCF of Numerators i.e. for 7898,2032 is 2

LCM of denominators i.e. for 14,902 is 6314.

Thus, GCF of Fractions is 2/6314.Finally, GCF of Fractions for 7898/14, 2032/902 is 2/6314.