Greatest Common Factor of 260/268, 290/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 260/268, 290/464

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 260/268,290/464

Given fractions are 260/268,290/464

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 260,290

Greatest Common Factor of Numerators i.e. GCF of 260,290 is 10 .

LCM of Denominators means LCM of 268,464 as per the given fractions.

LCM of 268,464 is 31088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 260,290

GCF of Fractions 260/268,290/464 is 10/31088

2 260, 290
5 130, 145
26, 29

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

Greatest Common Factor of 260,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,290 By Matching Biggest Common Factor Method

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

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 260,290 . The biggest common factor number is the GCF number.
So the greatest common factor 260,290 is 10.

Lets's calculate LCM of 268,464

2 268, 464
2 134, 232
67, 116

∴ So the LCM of the given numbers is 2 x 2 x 67 x 116 = 31088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/31088

Therefore, the GCF of Fractions 260/268,290/464 is 10/31088

Least Common Multiple of 268,464 with GCF Formula

Least Common Multiple of 268,464 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 268,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,464) = 4

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

GCF(268,464) x common factors =4 x 1 = 4

LCM(268,464) = ( 268 × 464 ) / 4

LCM(268,464) = 124352 / 4

LCM(268,464) = 31088


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 260/268, 290/464

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 260/268, 290/464?

Answer: GCF of Numerators as per given numbers 260/268, 290/464 is

GCF of Numerators i.e. for 260,290 is 10

LCM of denominators i.e. for 268,464 is 31088.

Thus, GCF of Fractions is 10/31088.Finally, GCF of Fractions for 260/268, 290/464 is 10/31088.