Greatest Common Factor of 7/37, 41/64, 42/150, 378/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/37, 41/64, 42/150, 378/971

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 7/37,41/64,42/150,378/971

Given fractions are 7/37,41/64,42/150,378/971

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 7,41,42,378

Greatest Common Factor of Numerators i.e. GCF of 7,41,42,378 is 1 .

LCM of Denominators means LCM of 37,64,150,971 as per the given fractions.

LCM of 37,64,150,971 is 172449600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,41,42,378

GCF of Fractions 7/37,41/64,42/150,378/971 is 1/172449600

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

Greatest Common Factor of 7,41,42,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,41,42,378 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 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

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 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 7,41,42,378 . The biggest common factor number is the GCF number.
So the greatest common factor 7,41,42,378 is 1.

Lets's calculate LCM of 37,64,150,971

2 37, 64, 150, 971
37, 32, 75, 971

∴ So the LCM of the given numbers is 2 x 37 x 32 x 75 x 971 = 172449600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172449600

Therefore, the GCF of Fractions 7/37,41/64,42/150,378/971 is 1/172449600

Least Common Multiple of 37,64,150,971 with GCF Formula

Least Common Multiple of 37,64,150,971 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 37,64,150,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,64,150,971) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,64,150,971) x common factors =1 x 2 = 2

LCM(37,64,150,971) = ( 37 × 64 × 150 × 971 ) / 2

LCM(37,64,150,971) = 344899200 / 2

LCM(37,64,150,971) = 172449600


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 7/37, 41/64, 42/150, 378/971

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 7/37, 41/64, 42/150, 378/971?

Answer: GCF of Numerators as per given numbers 7/37, 41/64, 42/150, 378/971 is

GCF of Numerators i.e. for 7,41,42,378 is 1

LCM of denominators i.e. for 37,64,150,971 is 172449600.

Thus, GCF of Fractions is 1/172449600.Finally, GCF of Fractions for 7/37, 41/64, 42/150, 378/971 is 1/172449600.