Greatest Common Factor of 37/406, 266/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/406, 266/731

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 37/406,266/731

Given fractions are 37/406,266/731

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 37,266

Greatest Common Factor of Numerators i.e. GCF of 37,266 is 1 .

LCM of Denominators means LCM of 406,731 as per the given fractions.

LCM of 406,731 is 296786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,266

GCF of Fractions 37/406,266/731 is 1/296786

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

Greatest Common Factor of 37,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,266 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 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 37,266 . The biggest common factor number is the GCF number.
So the greatest common factor 37,266 is 1.

Lets's calculate LCM of 406,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 296786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296786

Therefore, the GCF of Fractions 37/406,266/731 is 1/296786

Least Common Multiple of 406,731 with GCF Formula

Least Common Multiple of 406,731 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 406,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,731) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(406,731) x common factors =1 x 1 = 1

LCM(406,731) = ( 406 × 731 ) / 1

LCM(406,731) = 296786 / 1

LCM(406,731) = 296786


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 37/406, 266/731

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 37/406, 266/731?

Answer: GCF of Numerators as per given numbers 37/406, 266/731 is

GCF of Numerators i.e. for 37,266 is 1

LCM of denominators i.e. for 406,731 is 296786.

Thus, GCF of Fractions is 1/296786.Finally, GCF of Fractions for 37/406, 266/731 is 1/296786.