Greatest Common Factor of 52/74, 50/76, 21/75, 15/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/74, 50/76, 21/75, 15/999

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 52/74,50/76,21/75,15/999

Given fractions are 52/74,50/76,21/75,15/999

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 52,50,21,15

Greatest Common Factor of Numerators i.e. GCF of 52,50,21,15 is 1 .

LCM of Denominators means LCM of 74,76,75,999 as per the given fractions.

LCM of 74,76,75,999 is 1898100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,50,21,15

GCF of Fractions 52/74,50/76,21/75,15/999 is 1/1898100

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

Greatest Common Factor of 52,50,21,15 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,50,21,15 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Greatest Common Factor

We found the factors 52,50,21,15 . The biggest common factor number is the GCF number.
So the greatest common factor 52,50,21,15 is 1.

Lets's calculate LCM of 74,76,75,999

2 74, 76, 75, 999
3 37, 38, 75, 999
37 37, 38, 25, 333
1, 38, 25, 9

∴ So the LCM of the given numbers is 2 x 3 x 37 x 1 x 38 x 25 x 9 = 1898100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1898100

Therefore, the GCF of Fractions 52/74,50/76,21/75,15/999 is 1/1898100

Least Common Multiple of 74,76,75,999 with GCF Formula

Least Common Multiple of 74,76,75,999 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 74,76,75,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,76,75,999) = 1

common factors(in case of two or more numbers have common factors) = 222

GCF(74,76,75,999) x common factors =1 x 222 = 222

LCM(74,76,75,999) = ( 74 × 76 × 75 × 999 ) / 222

LCM(74,76,75,999) = 421378200 / 222

LCM(74,76,75,999) = 1898100


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 52/74, 50/76, 21/75, 15/999

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 52/74, 50/76, 21/75, 15/999?

Answer: GCF of Numerators as per given numbers 52/74, 50/76, 21/75, 15/999 is

GCF of Numerators i.e. for 52,50,21,15 is 1

LCM of denominators i.e. for 74,76,75,999 is 1898100.

Thus, GCF of Fractions is 1/1898100.Finally, GCF of Fractions for 52/74, 50/76, 21/75, 15/999 is 1/1898100.