Greatest Common Factor of 360/137, 524/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/137, 524/565

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 360/137,524/565

Given fractions are 360/137,524/565

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 360,524

Greatest Common Factor of Numerators i.e. GCF of 360,524 is 4 .

LCM of Denominators means LCM of 137,565 as per the given fractions.

LCM of 137,565 is 77405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,524

GCF of Fractions 360/137,524/565 is 4/77405

2 360, 524
2 180, 262
90, 131

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 360,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,524 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 360,524 . The biggest common factor number is the GCF number.
So the greatest common factor 360,524 is 4.

Lets's calculate LCM of 137,565

Given numbers has no common factors except 1. So, there LCM is their product i.e 77405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/77405

Therefore, the GCF of Fractions 360/137,524/565 is 4/77405

Least Common Multiple of 137,565 with GCF Formula

Least Common Multiple of 137,565 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 137,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,565) = 1

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

GCF(137,565) x common factors =1 x 1 = 1

LCM(137,565) = ( 137 × 565 ) / 1

LCM(137,565) = 77405 / 1

LCM(137,565) = 77405


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 360/137, 524/565

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 360/137, 524/565?

Answer: GCF of Numerators as per given numbers 360/137, 524/565 is

GCF of Numerators i.e. for 360,524 is 4

LCM of denominators i.e. for 137,565 is 77405.

Thus, GCF of Fractions is 4/77405.Finally, GCF of Fractions for 360/137, 524/565 is 4/77405.