Greatest Common Factor of 37/386, 45/154, 131/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/386, 45/154, 131/571

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 37/386,45/154,131/571

Given fractions are 37/386,45/154,131/571

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 37,45,131

Greatest Common Factor of Numerators i.e. GCF of 37,45,131 is 1 .

LCM of Denominators means LCM of 386,154,571 as per the given fractions.

LCM of 386,154,571 is 16971262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,45,131

GCF of Fractions 37/386,45/154,131/571 is 1/16971262

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

Greatest Common Factor of 37,45,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,45,131 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 37,45,131 . The biggest common factor number is the GCF number.
So the greatest common factor 37,45,131 is 1.

Lets's calculate LCM of 386,154,571

2 386, 154, 571
193, 77, 571

∴ So the LCM of the given numbers is 2 x 193 x 77 x 571 = 16971262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16971262

Therefore, the GCF of Fractions 37/386,45/154,131/571 is 1/16971262

Least Common Multiple of 386,154,571 with GCF Formula

Least Common Multiple of 386,154,571 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 386,154,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,154,571) = 1

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

GCF(386,154,571) x common factors =1 x 2 = 2

LCM(386,154,571) = ( 386 × 154 × 571 ) / 2

LCM(386,154,571) = 33942524 / 2

LCM(386,154,571) = 16971262


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 37/386, 45/154, 131/571

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 37/386, 45/154, 131/571?

Answer: GCF of Numerators as per given numbers 37/386, 45/154, 131/571 is

GCF of Numerators i.e. for 37,45,131 is 1

LCM of denominators i.e. for 386,154,571 is 16971262.

Thus, GCF of Fractions is 1/16971262.Finally, GCF of Fractions for 37/386, 45/154, 131/571 is 1/16971262.