Greatest Common Factor of 7/55, 42/15, 60/940, 374/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/55, 42/15, 60/940, 374/539

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 7/55,42/15,60/940,374/539

Given fractions are 7/55,42/15,60/940,374/539

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 7,42,60,374

Greatest Common Factor of Numerators i.e. GCF of 7,42,60,374 is 1 .

LCM of Denominators means LCM of 55,15,940,539 as per the given fractions.

LCM of 55,15,940,539 is 1519980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,42,60,374

GCF of Fractions 7/55,42/15,60/940,374/539 is 1/1519980

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

Greatest Common Factor of 7,42,60,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,42,60,374 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 7,42,60,374 . The biggest common factor number is the GCF number.
So the greatest common factor 7,42,60,374 is 1.

Lets's calculate LCM of 55,15,940,539

5 55, 15, 940, 539
11 11, 3, 188, 539
1, 3, 188, 49

∴ So the LCM of the given numbers is 5 x 11 x 1 x 3 x 188 x 49 = 1519980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1519980

Therefore, the GCF of Fractions 7/55,42/15,60/940,374/539 is 1/1519980

Least Common Multiple of 55,15,940,539 with GCF Formula

Least Common Multiple of 55,15,940,539 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 55,15,940,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,15,940,539) = 1

common factors(in case of two or more numbers have common factors) = 275

GCF(55,15,940,539) x common factors =1 x 275 = 275

LCM(55,15,940,539) = ( 55 × 15 × 940 × 539 ) / 275

LCM(55,15,940,539) = 417994500 / 275

LCM(55,15,940,539) = 1519980


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 7/55, 42/15, 60/940, 374/539

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 7/55, 42/15, 60/940, 374/539?

Answer: GCF of Numerators as per given numbers 7/55, 42/15, 60/940, 374/539 is

GCF of Numerators i.e. for 7,42,60,374 is 1

LCM of denominators i.e. for 55,15,940,539 is 1519980.

Thus, GCF of Fractions is 1/1519980.Finally, GCF of Fractions for 7/55, 42/15, 60/940, 374/539 is 1/1519980.