Greatest Common Factor of 652/36, 797/28, 548/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 652/36, 797/28, 548/60

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 652/36,797/28,548/60

Given fractions are 652/36,797/28,548/60

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 652,797,548

Greatest Common Factor of Numerators i.e. GCF of 652,797,548 is 1 .

LCM of Denominators means LCM of 36,28,60 as per the given fractions.

LCM of 36,28,60 is 1260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 652,797,548

GCF of Fractions 652/36,797/28,548/60 is 1/1260

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

Greatest Common Factor of 652,797,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,797,548 By Matching Biggest Common Factor Method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 652,797,548 . The biggest common factor number is the GCF number.
So the greatest common factor 652,797,548 is 1.

Lets's calculate LCM of 36,28,60

2 36, 28, 60
2 18, 14, 30
3 9, 7, 15
3, 7, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 5 = 1260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1260

Therefore, the GCF of Fractions 652/36,797/28,548/60 is 1/1260

Least Common Multiple of 36,28,60 with GCF Formula

Least Common Multiple of 36,28,60 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 36,28,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,28,60) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(36,28,60) x common factors =4 x 12 = 48

LCM(36,28,60) = ( 36 × 28 × 60 ) / 48

LCM(36,28,60) = 60480 / 48

LCM(36,28,60) = 1260


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 652/36, 797/28, 548/60

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 652/36, 797/28, 548/60?

Answer: GCF of Numerators as per given numbers 652/36, 797/28, 548/60 is

GCF of Numerators i.e. for 652,797,548 is 1

LCM of denominators i.e. for 36,28,60 is 1260.

Thus, GCF of Fractions is 1/1260.Finally, GCF of Fractions for 652/36, 797/28, 548/60 is 1/1260.