Greatest Common Factor of 502/28, 528/85, 153/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 502/28, 528/85, 153/629

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 502/28,528/85,153/629

Given fractions are 502/28,528/85,153/629

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 502,528,153

Greatest Common Factor of Numerators i.e. GCF of 502,528,153 is 1 .

LCM of Denominators means LCM of 28,85,629 as per the given fractions.

LCM of 28,85,629 is 88060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 502,528,153

GCF of Fractions 502/28,528/85,153/629 is 1/88060

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

Greatest Common Factor of 502,528,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,528,153 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

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 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 502,528,153 . The biggest common factor number is the GCF number.
So the greatest common factor 502,528,153 is 1.

Lets's calculate LCM of 28,85,629

17 28, 85, 629
28, 5, 37

∴ So the LCM of the given numbers is 17 x 28 x 5 x 37 = 88060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88060

Therefore, the GCF of Fractions 502/28,528/85,153/629 is 1/88060

Least Common Multiple of 28,85,629 with GCF Formula

Least Common Multiple of 28,85,629 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 28,85,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,85,629) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(28,85,629) x common factors =1 x 17 = 17

LCM(28,85,629) = ( 28 × 85 × 629 ) / 17

LCM(28,85,629) = 1497020 / 17

LCM(28,85,629) = 88060


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 502/28, 528/85, 153/629

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 502/28, 528/85, 153/629?

Answer: GCF of Numerators as per given numbers 502/28, 528/85, 153/629 is

GCF of Numerators i.e. for 502,528,153 is 1

LCM of denominators i.e. for 28,85,629 is 88060.

Thus, GCF of Fractions is 1/88060.Finally, GCF of Fractions for 502/28, 528/85, 153/629 is 1/88060.