Greatest Common Factor of 6/41, 20/42, 43/942, 157/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/41, 20/42, 43/942, 157/572

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 6/41,20/42,43/942,157/572

Given fractions are 6/41,20/42,43/942,157/572

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 6,20,43,157

Greatest Common Factor of Numerators i.e. GCF of 6,20,43,157 is 1 .

LCM of Denominators means LCM of 41,42,942,572 as per the given fractions.

LCM of 41,42,942,572 is 77321244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,20,43,157

GCF of Fractions 6/41,20/42,43/942,157/572 is 1/77321244

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

Greatest Common Factor of 6,20,43,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,20,43,157 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 6,20,43,157 . The biggest common factor number is the GCF number.
So the greatest common factor 6,20,43,157 is 1.

Lets's calculate LCM of 41,42,942,572

2 41, 42, 942, 572
3 41, 21, 471, 286
41, 7, 157, 286

∴ So the LCM of the given numbers is 2 x 3 x 41 x 7 x 157 x 286 = 77321244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77321244

Therefore, the GCF of Fractions 6/41,20/42,43/942,157/572 is 1/77321244

Least Common Multiple of 41,42,942,572 with GCF Formula

Least Common Multiple of 41,42,942,572 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 41,42,942,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,42,942,572) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(41,42,942,572) x common factors =1 x 12 = 12

LCM(41,42,942,572) = ( 41 × 42 × 942 × 572 ) / 12

LCM(41,42,942,572) = 927854928 / 12

LCM(41,42,942,572) = 77321244


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 6/41, 20/42, 43/942, 157/572

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 6/41, 20/42, 43/942, 157/572?

Answer: GCF of Numerators as per given numbers 6/41, 20/42, 43/942, 157/572 is

GCF of Numerators i.e. for 6,20,43,157 is 1

LCM of denominators i.e. for 41,42,942,572 is 77321244.

Thus, GCF of Fractions is 1/77321244.Finally, GCF of Fractions for 6/41, 20/42, 43/942, 157/572 is 1/77321244.