Greatest Common Factor of 655/67, 525/53, 938/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 655/67, 525/53, 938/40

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 655/67,525/53,938/40

Given fractions are 655/67,525/53,938/40

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 655,525,938

Greatest Common Factor of Numerators i.e. GCF of 655,525,938 is 1 .

LCM of Denominators means LCM of 67,53,40 as per the given fractions.

LCM of 67,53,40 is 142040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 655,525,938

GCF of Fractions 655/67,525/53,938/40 is 1/142040

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

Greatest Common Factor of 655,525,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,525,938 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 655,525,938 . The biggest common factor number is the GCF number.
So the greatest common factor 655,525,938 is 1.

Lets's calculate LCM of 67,53,40

Given numbers has no common factors except 1. So, there LCM is their product i.e 142040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142040

Therefore, the GCF of Fractions 655/67,525/53,938/40 is 1/142040

Least Common Multiple of 67,53,40 with GCF Formula

Least Common Multiple of 67,53,40 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 67,53,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,53,40) = 1

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

GCF(67,53,40) x common factors =1 x 1 = 1

LCM(67,53,40) = ( 67 × 53 × 40 ) / 1

LCM(67,53,40) = 142040 / 1

LCM(67,53,40) = 142040


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 655/67, 525/53, 938/40

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 655/67, 525/53, 938/40?

Answer: GCF of Numerators as per given numbers 655/67, 525/53, 938/40 is

GCF of Numerators i.e. for 655,525,938 is 1

LCM of denominators i.e. for 67,53,40 is 142040.

Thus, GCF of Fractions is 1/142040.Finally, GCF of Fractions for 655/67, 525/53, 938/40 is 1/142040.