Greatest Common Factor of 252/23, 250/79, 828/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 252/23, 250/79, 828/17

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 252/23,250/79,828/17

Given fractions are 252/23,250/79,828/17

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 252,250,828

Greatest Common Factor of Numerators i.e. GCF of 252,250,828 is 2 .

LCM of Denominators means LCM of 23,79,17 as per the given fractions.

LCM of 23,79,17 is 30889 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,250,828

GCF of Fractions 252/23,250/79,828/17 is 2/30889

2 252, 250, 828
126, 125, 414

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

Greatest Common Factor of 252,250,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,250,828 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 252,250,828 . The biggest common factor number is the GCF number.
So the greatest common factor 252,250,828 is 2.

Lets's calculate LCM of 23,79,17

Given numbers has no common factors except 1. So, there LCM is their product i.e 30889

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30889

Therefore, the GCF of Fractions 252/23,250/79,828/17 is 2/30889

Least Common Multiple of 23,79,17 with GCF Formula

Least Common Multiple of 23,79,17 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 23,79,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,79,17) = 1

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

GCF(23,79,17) x common factors =1 x 1 = 1

LCM(23,79,17) = ( 23 × 79 × 17 ) / 1

LCM(23,79,17) = 30889 / 1

LCM(23,79,17) = 30889


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 252/23, 250/79, 828/17

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 252/23, 250/79, 828/17?

Answer: GCF of Numerators as per given numbers 252/23, 250/79, 828/17 is

GCF of Numerators i.e. for 252,250,828 is 2

LCM of denominators i.e. for 23,79,17 is 30889.

Thus, GCF of Fractions is 2/30889.Finally, GCF of Fractions for 252/23, 250/79, 828/17 is 2/30889.