Greatest Common Factor of 659/10, 925/26, 461/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 659/10, 925/26, 461/11

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 659/10,925/26,461/11

Given fractions are 659/10,925/26,461/11

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 659,925,461

Greatest Common Factor of Numerators i.e. GCF of 659,925,461 is 1 .

LCM of Denominators means LCM of 10,26,11 as per the given fractions.

LCM of 10,26,11 is 1430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 659,925,461

GCF of Fractions 659/10,925/26,461/11 is 1/1430

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 659,925,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,925,461 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 659,925,461 . The biggest common factor number is the GCF number.
So the greatest common factor 659,925,461 is 1.

Lets's calculate LCM of 10,26,11

2 10, 26, 11
5, 13, 11

∴ So the LCM of the given numbers is 2 x 5 x 13 x 11 = 1430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1430

Therefore, the GCF of Fractions 659/10,925/26,461/11 is 1/1430

Least Common Multiple of 10,26,11 with GCF Formula

Least Common Multiple of 10,26,11 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 10,26,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,26,11) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,26,11) x common factors =1 x 2 = 2

LCM(10,26,11) = ( 10 × 26 × 11 ) / 2

LCM(10,26,11) = 2860 / 2

LCM(10,26,11) = 1430


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 659/10, 925/26, 461/11

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 659/10, 925/26, 461/11?

Answer: GCF of Numerators as per given numbers 659/10, 925/26, 461/11 is

GCF of Numerators i.e. for 659,925,461 is 1

LCM of denominators i.e. for 10,26,11 is 1430.

Thus, GCF of Fractions is 1/1430.Finally, GCF of Fractions for 659/10, 925/26, 461/11 is 1/1430.