Greatest Common Factor of 626/45, 238/81, 537/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 626/45, 238/81, 537/456

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 626/45,238/81,537/456

Given fractions are 626/45,238/81,537/456

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 626,238,537

Greatest Common Factor of Numerators i.e. GCF of 626,238,537 is 1 .

LCM of Denominators means LCM of 45,81,456 as per the given fractions.

LCM of 45,81,456 is 61560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 626,238,537

GCF of Fractions 626/45,238/81,537/456 is 1/61560

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

Greatest Common Factor of 626,238,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,238,537 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 626,238,537 . The biggest common factor number is the GCF number.
So the greatest common factor 626,238,537 is 1.

Lets's calculate LCM of 45,81,456

3 45, 81, 456
3 15, 27, 152
5, 9, 152

∴ So the LCM of the given numbers is 3 x 3 x 5 x 9 x 152 = 61560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61560

Therefore, the GCF of Fractions 626/45,238/81,537/456 is 1/61560

Least Common Multiple of 45,81,456 with GCF Formula

Least Common Multiple of 45,81,456 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 45,81,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,81,456) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(45,81,456) x common factors =3 x 9 = 27

LCM(45,81,456) = ( 45 × 81 × 456 ) / 27

LCM(45,81,456) = 1662120 / 27

LCM(45,81,456) = 61560


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 626/45, 238/81, 537/456

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 626/45, 238/81, 537/456?

Answer: GCF of Numerators as per given numbers 626/45, 238/81, 537/456 is

GCF of Numerators i.e. for 626,238,537 is 1

LCM of denominators i.e. for 45,81,456 is 61560.

Thus, GCF of Fractions is 1/61560.Finally, GCF of Fractions for 626/45, 238/81, 537/456 is 1/61560.