Greatest Common Factor of 910/266, 2509/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 910/266, 2509/464

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 910/266,2509/464

Given fractions are 910/266,2509/464

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 910,2509

Greatest Common Factor of Numerators i.e. GCF of 910,2509 is 13 .

LCM of Denominators means LCM of 266,464 as per the given fractions.

LCM of 266,464 is 61712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 910,2509

GCF of Fractions 910/266,2509/464 is 13/61712

13 910, 2509
70, 193

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 910,2509 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,2509 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 2509

List of positive integer factors of 2509 that divides 2509 without a remainder.

1,13,193,2509

Greatest Common Factor

We found the factors 910,2509 . The biggest common factor number is the GCF number.
So the greatest common factor 910,2509 is 13.

Lets's calculate LCM of 266,464

2 266, 464
133, 232

∴ So the LCM of the given numbers is 2 x 133 x 232 = 61712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/61712

Therefore, the GCF of Fractions 910/266,2509/464 is 13/61712

Least Common Multiple of 266,464 with GCF Formula

Least Common Multiple of 266,464 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 266,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,464) = 2

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

GCF(266,464) x common factors =2 x 1 = 2

LCM(266,464) = ( 266 × 464 ) / 2

LCM(266,464) = 123424 / 2

LCM(266,464) = 61712


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 910/266, 2509/464

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 910/266, 2509/464?

Answer: GCF of Numerators as per given numbers 910/266, 2509/464 is

GCF of Numerators i.e. for 910,2509 is 13

LCM of denominators i.e. for 266,464 is 61712.

Thus, GCF of Fractions is 13/61712.Finally, GCF of Fractions for 910/266, 2509/464 is 13/61712.