Greatest Common Factor of 528/40, 515/32, 135/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 528/40, 515/32, 135/244

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 528/40,515/32,135/244

Given fractions are 528/40,515/32,135/244

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 528,515,135

Greatest Common Factor of Numerators i.e. GCF of 528,515,135 is 1 .

LCM of Denominators means LCM of 40,32,244 as per the given fractions.

LCM of 40,32,244 is 9760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 528,515,135

GCF of Fractions 528/40,515/32,135/244 is 1/9760

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

Greatest Common Factor of 528,515,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,515,135 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 528,515,135 . The biggest common factor number is the GCF number.
So the greatest common factor 528,515,135 is 1.

Lets's calculate LCM of 40,32,244

2 40, 32, 244
2 20, 16, 122
2 10, 8, 61
5, 4, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 4 x 61 = 9760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9760

Therefore, the GCF of Fractions 528/40,515/32,135/244 is 1/9760

Least Common Multiple of 40,32,244 with GCF Formula

Least Common Multiple of 40,32,244 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 40,32,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,32,244) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(40,32,244) x common factors =4 x 8 = 32

LCM(40,32,244) = ( 40 × 32 × 244 ) / 32

LCM(40,32,244) = 312320 / 32

LCM(40,32,244) = 9760


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 528/40, 515/32, 135/244

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 528/40, 515/32, 135/244?

Answer: GCF of Numerators as per given numbers 528/40, 515/32, 135/244 is

GCF of Numerators i.e. for 528,515,135 is 1

LCM of denominators i.e. for 40,32,244 is 9760.

Thus, GCF of Fractions is 1/9760.Finally, GCF of Fractions for 528/40, 515/32, 135/244 is 1/9760.