Greatest Common Factor of 25/42, 21/44, 85/14, 40/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/42, 21/44, 85/14, 40/740

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 25/42,21/44,85/14,40/740

Given fractions are 25/42,21/44,85/14,40/740

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 25,21,85,40

Greatest Common Factor of Numerators i.e. GCF of 25,21,85,40 is 1 .

LCM of Denominators means LCM of 42,44,14,740 as per the given fractions.

LCM of 42,44,14,740 is 170940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,21,85,40

GCF of Fractions 25/42,21/44,85/14,40/740 is 1/170940

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

Greatest Common Factor of 25,21,85,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,21,85,40 By Matching Biggest Common Factor Method

Factors of 25

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

1,5,25

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 40

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

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

Greatest Common Factor

We found the factors 25,21,85,40 . The biggest common factor number is the GCF number.
So the greatest common factor 25,21,85,40 is 1.

Lets's calculate LCM of 42,44,14,740

2 42, 44, 14, 740
2 21, 22, 7, 370
7 21, 11, 7, 185
3, 11, 1, 185

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 11 x 1 x 185 = 170940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170940

Therefore, the GCF of Fractions 25/42,21/44,85/14,40/740 is 1/170940

Least Common Multiple of 42,44,14,740 with GCF Formula

Least Common Multiple of 42,44,14,740 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 42,44,14,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,44,14,740) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(42,44,14,740) x common factors =2 x 56 = 112

LCM(42,44,14,740) = ( 42 × 44 × 14 × 740 ) / 112

LCM(42,44,14,740) = 19145280 / 112

LCM(42,44,14,740) = 170940


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 25/42, 21/44, 85/14, 40/740

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 25/42, 21/44, 85/14, 40/740?

Answer: GCF of Numerators as per given numbers 25/42, 21/44, 85/14, 40/740 is

GCF of Numerators i.e. for 25,21,85,40 is 1

LCM of denominators i.e. for 42,44,14,740 is 170940.

Thus, GCF of Fractions is 1/170940.Finally, GCF of Fractions for 25/42, 21/44, 85/14, 40/740 is 1/170940.