Greatest Common Factor of 1928/131, 4962/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1928/131, 4962/907

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 1928/131,4962/907

Given fractions are 1928/131,4962/907

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 1928,4962

Greatest Common Factor of Numerators i.e. GCF of 1928,4962 is 2 .

LCM of Denominators means LCM of 131,907 as per the given fractions.

LCM of 131,907 is 118817 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1928,4962

GCF of Fractions 1928/131,4962/907 is 2/118817

2 1928, 4962
964, 2481

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

Greatest Common Factor of 1928,4962 By Matching Biggest Common Factor Method

Greatest Common Factor of 1928,4962 By Matching Biggest Common Factor Method

Factors of 1928

List of positive integer factors of 1928 that divides 1928 without a remainder.

1,2,4,8,241,482,964,1928

Factors of 4962

List of positive integer factors of 4962 that divides 4962 without a remainder.

1,2,3,6,827,1654,2481,4962

Greatest Common Factor

We found the factors 1928,4962 . The biggest common factor number is the GCF number.
So the greatest common factor 1928,4962 is 2.

Lets's calculate LCM of 131,907

Given numbers has no common factors except 1. So, there LCM is their product i.e 118817

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118817

Therefore, the GCF of Fractions 1928/131,4962/907 is 2/118817

Least Common Multiple of 131,907 with GCF Formula

Least Common Multiple of 131,907 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 131,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,907) = 1

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

GCF(131,907) x common factors =1 x 1 = 1

LCM(131,907) = ( 131 × 907 ) / 1

LCM(131,907) = 118817 / 1

LCM(131,907) = 118817


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 1928/131, 4962/907

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 1928/131, 4962/907?

Answer: GCF of Numerators as per given numbers 1928/131, 4962/907 is

GCF of Numerators i.e. for 1928,4962 is 2

LCM of denominators i.e. for 131,907 is 118817.

Thus, GCF of Fractions is 2/118817.Finally, GCF of Fractions for 1928/131, 4962/907 is 2/118817.