Greatest Common Factor of 72/175, 218/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/175, 218/292

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 72/175,218/292

Given fractions are 72/175,218/292

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 72,218

Greatest Common Factor of Numerators i.e. GCF of 72,218 is 2 .

LCM of Denominators means LCM of 175,292 as per the given fractions.

LCM of 175,292 is 51100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,218

GCF of Fractions 72/175,218/292 is 2/51100

2 72, 218
36, 109

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

Greatest Common Factor of 72,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,218 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 72,218 . The biggest common factor number is the GCF number.
So the greatest common factor 72,218 is 2.

Lets's calculate LCM of 175,292

Given numbers has no common factors except 1. So, there LCM is their product i.e 51100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51100

Therefore, the GCF of Fractions 72/175,218/292 is 2/51100

Least Common Multiple of 175,292 with GCF Formula

Least Common Multiple of 175,292 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 175,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,292) = 1

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

GCF(175,292) x common factors =1 x 1 = 1

LCM(175,292) = ( 175 × 292 ) / 1

LCM(175,292) = 51100 / 1

LCM(175,292) = 51100


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 72/175, 218/292

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 72/175, 218/292?

Answer: GCF of Numerators as per given numbers 72/175, 218/292 is

GCF of Numerators i.e. for 72,218 is 2

LCM of denominators i.e. for 175,292 is 51100.

Thus, GCF of Fractions is 2/51100.Finally, GCF of Fractions for 72/175, 218/292 is 2/51100.