Greatest Common Factor of 790/65, 602/90, 365/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 790/65, 602/90, 365/137

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 790/65,602/90,365/137

Given fractions are 790/65,602/90,365/137

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 790,602,365

Greatest Common Factor of Numerators i.e. GCF of 790,602,365 is 1 .

LCM of Denominators means LCM of 65,90,137 as per the given fractions.

LCM of 65,90,137 is 160290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 790,602,365

GCF of Fractions 790/65,602/90,365/137 is 1/160290

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

Greatest Common Factor of 790,602,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,602,365 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 790,602,365 . The biggest common factor number is the GCF number.
So the greatest common factor 790,602,365 is 1.

Lets's calculate LCM of 65,90,137

5 65, 90, 137
13, 18, 137

∴ So the LCM of the given numbers is 5 x 13 x 18 x 137 = 160290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160290

Therefore, the GCF of Fractions 790/65,602/90,365/137 is 1/160290

Least Common Multiple of 65,90,137 with GCF Formula

Least Common Multiple of 65,90,137 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 65,90,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,90,137) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,90,137) x common factors =1 x 5 = 5

LCM(65,90,137) = ( 65 × 90 × 137 ) / 5

LCM(65,90,137) = 801450 / 5

LCM(65,90,137) = 160290


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 790/65, 602/90, 365/137

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 790/65, 602/90, 365/137?

Answer: GCF of Numerators as per given numbers 790/65, 602/90, 365/137 is

GCF of Numerators i.e. for 790,602,365 is 1

LCM of denominators i.e. for 65,90,137 is 160290.

Thus, GCF of Fractions is 1/160290.Finally, GCF of Fractions for 790/65, 602/90, 365/137 is 1/160290.