Greatest Common Factor of 920/76, 130/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 920/76, 130/219

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 920/76,130/219

Given fractions are 920/76,130/219

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 920,130

Greatest Common Factor of Numerators i.e. GCF of 920,130 is 10 .

LCM of Denominators means LCM of 76,219 as per the given fractions.

LCM of 76,219 is 16644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 920,130

GCF of Fractions 920/76,130/219 is 10/16644

2 920, 130
5 460, 65
92, 13

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 920,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,130 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 920,130 . The biggest common factor number is the GCF number.
So the greatest common factor 920,130 is 10.

Lets's calculate LCM of 76,219

Given numbers has no common factors except 1. So, there LCM is their product i.e 16644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/16644

Therefore, the GCF of Fractions 920/76,130/219 is 10/16644

Least Common Multiple of 76,219 with GCF Formula

Least Common Multiple of 76,219 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 76,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,219) = 1

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

GCF(76,219) x common factors =1 x 1 = 1

LCM(76,219) = ( 76 × 219 ) / 1

LCM(76,219) = 16644 / 1

LCM(76,219) = 16644


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 920/76, 130/219

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 920/76, 130/219?

Answer: GCF of Numerators as per given numbers 920/76, 130/219 is

GCF of Numerators i.e. for 920,130 is 10

LCM of denominators i.e. for 76,219 is 16644.

Thus, GCF of Fractions is 10/16644.Finally, GCF of Fractions for 920/76, 130/219 is 10/16644.