Greatest Common Factor of 37/847, 926/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/847, 926/982

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 37/847,926/982

Given fractions are 37/847,926/982

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 37,926

Greatest Common Factor of Numerators i.e. GCF of 37,926 is 1 .

LCM of Denominators means LCM of 847,982 as per the given fractions.

LCM of 847,982 is 831754 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,926

GCF of Fractions 37/847,926/982 is 1/831754

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

Greatest Common Factor of 37,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,926 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 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 37,926 . The biggest common factor number is the GCF number.
So the greatest common factor 37,926 is 1.

Lets's calculate LCM of 847,982

Given numbers has no common factors except 1. So, there LCM is their product i.e 831754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/831754

Therefore, the GCF of Fractions 37/847,926/982 is 1/831754

Least Common Multiple of 847,982 with GCF Formula

Least Common Multiple of 847,982 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 847,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,982) = 1

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

GCF(847,982) x common factors =1 x 1 = 1

LCM(847,982) = ( 847 × 982 ) / 1

LCM(847,982) = 831754 / 1

LCM(847,982) = 831754


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 37/847, 926/982

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 37/847, 926/982?

Answer: GCF of Numerators as per given numbers 37/847, 926/982 is

GCF of Numerators i.e. for 37,926 is 1

LCM of denominators i.e. for 847,982 is 831754.

Thus, GCF of Fractions is 1/831754.Finally, GCF of Fractions for 37/847, 926/982 is 1/831754.