Greatest Common Factor of 218/780, 260/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 218/780, 260/920

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 218/780,260/920

Given fractions are 218/780,260/920

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 218,260

Greatest Common Factor of Numerators i.e. GCF of 218,260 is 2 .

LCM of Denominators means LCM of 780,920 as per the given fractions.

LCM of 780,920 is 35880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 218,260

GCF of Fractions 218/780,260/920 is 2/35880

2 218, 260
109, 130

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

Greatest Common Factor of 218,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,260 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 218,260 . The biggest common factor number is the GCF number.
So the greatest common factor 218,260 is 2.

Lets's calculate LCM of 780,920

2 780, 920
2 390, 460
5 195, 230
39, 46

∴ So the LCM of the given numbers is 2 x 2 x 5 x 39 x 46 = 35880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35880

Therefore, the GCF of Fractions 218/780,260/920 is 2/35880

Least Common Multiple of 780,920 with GCF Formula

Least Common Multiple of 780,920 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 780,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,920) = 20

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

GCF(780,920) x common factors =20 x 1 = 20

LCM(780,920) = ( 780 × 920 ) / 20

LCM(780,920) = 717600 / 20

LCM(780,920) = 35880


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 218/780, 260/920

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 218/780, 260/920?

Answer: GCF of Numerators as per given numbers 218/780, 260/920 is

GCF of Numerators i.e. for 218,260 is 2

LCM of denominators i.e. for 780,920 is 35880.

Thus, GCF of Fractions is 2/35880.Finally, GCF of Fractions for 218/780, 260/920 is 2/35880.