Greatest Common Factor of 1957/679, 9790/4916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1957/679, 9790/4916

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 1957/679,9790/4916

Given fractions are 1957/679,9790/4916

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 1957,9790

Greatest Common Factor of Numerators i.e. GCF of 1957,9790 is 1 .

LCM of Denominators means LCM of 679,4916 as per the given fractions.

LCM of 679,4916 is 3337964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1957,9790

GCF of Fractions 1957/679,9790/4916 is 1/3337964

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1957,9790 By Matching Biggest Common Factor Method

Greatest Common Factor of 1957,9790 By Matching Biggest Common Factor Method

Factors of 1957

List of positive integer factors of 1957 that divides 1957 without a remainder.

1,19,103,1957

Factors of 9790

List of positive integer factors of 9790 that divides 9790 without a remainder.

1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790

Greatest Common Factor

We found the factors 1957,9790 . The biggest common factor number is the GCF number.
So the greatest common factor 1957,9790 is 1.

Lets's calculate LCM of 679,4916

Given numbers has no common factors except 1. So, there LCM is their product i.e 3337964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3337964

Therefore, the GCF of Fractions 1957/679,9790/4916 is 1/3337964

Least Common Multiple of 679,4916 with GCF Formula

Least Common Multiple of 679,4916 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 679,4916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,4916) = 1

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

GCF(679,4916) x common factors =1 x 1 = 1

LCM(679,4916) = ( 679 × 4916 ) / 1

LCM(679,4916) = 3337964 / 1

LCM(679,4916) = 3337964


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 1957/679, 9790/4916

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 1957/679, 9790/4916?

Answer: GCF of Numerators as per given numbers 1957/679, 9790/4916 is

GCF of Numerators i.e. for 1957,9790 is 1

LCM of denominators i.e. for 679,4916 is 3337964.

Thus, GCF of Fractions is 1/3337964.Finally, GCF of Fractions for 1957/679, 9790/4916 is 1/3337964.