Greatest Common Factor of 2012/790, 7130/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2012/790, 7130/780

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 2012/790,7130/780

Given fractions are 2012/790,7130/780

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 2012,7130

Greatest Common Factor of Numerators i.e. GCF of 2012,7130 is 2 .

LCM of Denominators means LCM of 790,780 as per the given fractions.

LCM of 790,780 is 61620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2012,7130

GCF of Fractions 2012/790,7130/780 is 2/61620

2 2012, 7130
1006, 3565

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

Greatest Common Factor of 2012,7130 By Matching Biggest Common Factor Method

Greatest Common Factor of 2012,7130 By Matching Biggest Common Factor Method

Factors of 2012

List of positive integer factors of 2012 that divides 2012 without a remainder.

1,2,4,503,1006,2012

Factors of 7130

List of positive integer factors of 7130 that divides 7130 without a remainder.

1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130

Greatest Common Factor

We found the factors 2012,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 2012,7130 is 2.

Lets's calculate LCM of 790,780

2 790, 780
5 395, 390
79, 78

∴ So the LCM of the given numbers is 2 x 5 x 79 x 78 = 61620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61620

Therefore, the GCF of Fractions 2012/790,7130/780 is 2/61620

Least Common Multiple of 790,780 with GCF Formula

Least Common Multiple of 790,780 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 790,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,780) = 10

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

GCF(790,780) x common factors =10 x 1 = 10

LCM(790,780) = ( 790 × 780 ) / 10

LCM(790,780) = 616200 / 10

LCM(790,780) = 61620


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 2012/790, 7130/780

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 2012/790, 7130/780?

Answer: GCF of Numerators as per given numbers 2012/790, 7130/780 is

GCF of Numerators i.e. for 2012,7130 is 2

LCM of denominators i.e. for 790,780 is 61620.

Thus, GCF of Fractions is 2/61620.Finally, GCF of Fractions for 2012/790, 7130/780 is 2/61620.