Greatest Common Factor of 938/53, 952/31, 998/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 938/53, 952/31, 998/990

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 938/53,952/31,998/990

Given fractions are 938/53,952/31,998/990

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 938,952,998

Greatest Common Factor of Numerators i.e. GCF of 938,952,998 is 2 .

LCM of Denominators means LCM of 53,31,990 as per the given fractions.

LCM of 53,31,990 is 1626570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 938,952,998

GCF of Fractions 938/53,952/31,998/990 is 2/1626570

2 938, 952, 998
469, 476, 499

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

Greatest Common Factor of 938,952,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,952,998 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 938,952,998 . The biggest common factor number is the GCF number.
So the greatest common factor 938,952,998 is 2.

Lets's calculate LCM of 53,31,990

Given numbers has no common factors except 1. So, there LCM is their product i.e 1626570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1626570

Therefore, the GCF of Fractions 938/53,952/31,998/990 is 2/1626570

Least Common Multiple of 53,31,990 with GCF Formula

Least Common Multiple of 53,31,990 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 53,31,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,31,990) = 1

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

GCF(53,31,990) x common factors =1 x 1 = 1

LCM(53,31,990) = ( 53 × 31 × 990 ) / 1

LCM(53,31,990) = 1626570 / 1

LCM(53,31,990) = 1626570


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 938/53, 952/31, 998/990

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 938/53, 952/31, 998/990?

Answer: GCF of Numerators as per given numbers 938/53, 952/31, 998/990 is

GCF of Numerators i.e. for 938,952,998 is 2

LCM of denominators i.e. for 53,31,990 is 1626570.

Thus, GCF of Fractions is 2/1626570.Finally, GCF of Fractions for 938/53, 952/31, 998/990 is 2/1626570.