Greatest Common Factor of 609/37, 982/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 609/37, 982/138

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 609/37,982/138

Given fractions are 609/37,982/138

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 609,982

Greatest Common Factor of Numerators i.e. GCF of 609,982 is 1 .

LCM of Denominators means LCM of 37,138 as per the given fractions.

LCM of 37,138 is 5106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 609,982

GCF of Fractions 609/37,982/138 is 1/5106

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

Greatest Common Factor of 609,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,982 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 609,982 . The biggest common factor number is the GCF number.
So the greatest common factor 609,982 is 1.

Lets's calculate LCM of 37,138

Given numbers has no common factors except 1. So, there LCM is their product i.e 5106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5106

Therefore, the GCF of Fractions 609/37,982/138 is 1/5106

Least Common Multiple of 37,138 with GCF Formula

Least Common Multiple of 37,138 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 37,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,138) = 1

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

GCF(37,138) x common factors =1 x 1 = 1

LCM(37,138) = ( 37 × 138 ) / 1

LCM(37,138) = 5106 / 1

LCM(37,138) = 5106


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 609/37, 982/138

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 609/37, 982/138?

Answer: GCF of Numerators as per given numbers 609/37, 982/138 is

GCF of Numerators i.e. for 609,982 is 1

LCM of denominators i.e. for 37,138 is 5106.

Thus, GCF of Fractions is 1/5106.Finally, GCF of Fractions for 609/37, 982/138 is 1/5106.