Greatest Common Factor of 3157/123, 1316/2010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3157/123, 1316/2010

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 3157/123,1316/2010

Given fractions are 3157/123,1316/2010

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 3157,1316

Greatest Common Factor of Numerators i.e. GCF of 3157,1316 is 7 .

LCM of Denominators means LCM of 123,2010 as per the given fractions.

LCM of 123,2010 is 82410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3157,1316

GCF of Fractions 3157/123,1316/2010 is 7/82410

7 3157, 1316
451, 188

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3157,1316 By Matching Biggest Common Factor Method

Greatest Common Factor of 3157,1316 By Matching Biggest Common Factor Method

Factors of 3157

List of positive integer factors of 3157 that divides 3157 without a remainder.

1,7,11,41,77,287,451,3157

Factors of 1316

List of positive integer factors of 1316 that divides 1316 without a remainder.

1,2,4,7,14,28,47,94,188,329,658,1316

Greatest Common Factor

We found the factors 3157,1316 . The biggest common factor number is the GCF number.
So the greatest common factor 3157,1316 is 7.

Lets's calculate LCM of 123,2010

3 123, 2010
41, 670

∴ So the LCM of the given numbers is 3 x 41 x 670 = 82410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/82410

Therefore, the GCF of Fractions 3157/123,1316/2010 is 7/82410

Least Common Multiple of 123,2010 with GCF Formula

Least Common Multiple of 123,2010 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 123,2010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,2010) = 3

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

GCF(123,2010) x common factors =3 x 1 = 3

LCM(123,2010) = ( 123 × 2010 ) / 3

LCM(123,2010) = 247230 / 3

LCM(123,2010) = 82410


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 3157/123, 1316/2010

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 3157/123, 1316/2010?

Answer: GCF of Numerators as per given numbers 3157/123, 1316/2010 is

GCF of Numerators i.e. for 3157,1316 is 7

LCM of denominators i.e. for 123,2010 is 82410.

Thus, GCF of Fractions is 7/82410.Finally, GCF of Fractions for 3157/123, 1316/2010 is 7/82410.