Greatest Common Factor of 461/58, 761/23, 637/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 461/58, 761/23, 637/13

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 461/58,761/23,637/13

Given fractions are 461/58,761/23,637/13

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 461,761,637

Greatest Common Factor of Numerators i.e. GCF of 461,761,637 is 1 .

LCM of Denominators means LCM of 58,23,13 as per the given fractions.

LCM of 58,23,13 is 17342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 461,761,637

GCF of Fractions 461/58,761/23,637/13 is 1/17342

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

Greatest Common Factor of 461,761,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,761,637 By Matching Biggest Common Factor Method

Factors of 461

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

1,461

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 461,761,637 . The biggest common factor number is the GCF number.
So the greatest common factor 461,761,637 is 1.

Lets's calculate LCM of 58,23,13

Given numbers has no common factors except 1. So, there LCM is their product i.e 17342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17342

Therefore, the GCF of Fractions 461/58,761/23,637/13 is 1/17342

Least Common Multiple of 58,23,13 with GCF Formula

Least Common Multiple of 58,23,13 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 58,23,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,23,13) = 1

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

GCF(58,23,13) x common factors =1 x 1 = 1

LCM(58,23,13) = ( 58 × 23 × 13 ) / 1

LCM(58,23,13) = 17342 / 1

LCM(58,23,13) = 17342


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 461/58, 761/23, 637/13

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 461/58, 761/23, 637/13?

Answer: GCF of Numerators as per given numbers 461/58, 761/23, 637/13 is

GCF of Numerators i.e. for 461,761,637 is 1

LCM of denominators i.e. for 58,23,13 is 17342.

Thus, GCF of Fractions is 1/17342.Finally, GCF of Fractions for 461/58, 761/23, 637/13 is 1/17342.