Greatest Common Factor of 40/72, 25/34, 26/29, 97/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/72, 25/34, 26/29, 97/428

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 40/72,25/34,26/29,97/428

Given fractions are 40/72,25/34,26/29,97/428

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 40,25,26,97

Greatest Common Factor of Numerators i.e. GCF of 40,25,26,97 is 1 .

LCM of Denominators means LCM of 72,34,29,428 as per the given fractions.

LCM of 72,34,29,428 is 3798072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,25,26,97

GCF of Fractions 40/72,25/34,26/29,97/428 is 1/3798072

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

Greatest Common Factor of 40,25,26,97 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,25,26,97 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Greatest Common Factor

We found the factors 40,25,26,97 . The biggest common factor number is the GCF number.
So the greatest common factor 40,25,26,97 is 1.

Lets's calculate LCM of 72,34,29,428

2 72, 34, 29, 428
2 36, 17, 29, 214
18, 17, 29, 107

∴ So the LCM of the given numbers is 2 x 2 x 18 x 17 x 29 x 107 = 3798072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3798072

Therefore, the GCF of Fractions 40/72,25/34,26/29,97/428 is 1/3798072

Least Common Multiple of 72,34,29,428 with GCF Formula

Least Common Multiple of 72,34,29,428 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 72,34,29,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,34,29,428) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(72,34,29,428) x common factors =1 x 8 = 8

LCM(72,34,29,428) = ( 72 × 34 × 29 × 428 ) / 8

LCM(72,34,29,428) = 30384576 / 8

LCM(72,34,29,428) = 3798072


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 40/72, 25/34, 26/29, 97/428

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 40/72, 25/34, 26/29, 97/428?

Answer: GCF of Numerators as per given numbers 40/72, 25/34, 26/29, 97/428 is

GCF of Numerators i.e. for 40,25,26,97 is 1

LCM of denominators i.e. for 72,34,29,428 is 3798072.

Thus, GCF of Fractions is 1/3798072.Finally, GCF of Fractions for 40/72, 25/34, 26/29, 97/428 is 1/3798072.