Greatest Common Factor of 72/835, 575/164, 144/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/835, 575/164, 144/937

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 72/835,575/164,144/937

Given fractions are 72/835,575/164,144/937

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 72,575,144

Greatest Common Factor of Numerators i.e. GCF of 72,575,144 is 1 .

LCM of Denominators means LCM of 835,164,937 as per the given fractions.

LCM of 835,164,937 is 128312780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,575,144

GCF of Fractions 72/835,575/164,144/937 is 1/128312780

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

Greatest Common Factor of 72,575,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,575,144 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 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 72,575,144 . The biggest common factor number is the GCF number.
So the greatest common factor 72,575,144 is 1.

Lets's calculate LCM of 835,164,937

Given numbers has no common factors except 1. So, there LCM is their product i.e 128312780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128312780

Therefore, the GCF of Fractions 72/835,575/164,144/937 is 1/128312780

Least Common Multiple of 835,164,937 with GCF Formula

Least Common Multiple of 835,164,937 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 835,164,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,164,937) = 1

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

GCF(835,164,937) x common factors =1 x 1 = 1

LCM(835,164,937) = ( 835 × 164 × 937 ) / 1

LCM(835,164,937) = 128312780 / 1

LCM(835,164,937) = 128312780


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 72/835, 575/164, 144/937

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 72/835, 575/164, 144/937?

Answer: GCF of Numerators as per given numbers 72/835, 575/164, 144/937 is

GCF of Numerators i.e. for 72,575,144 is 1

LCM of denominators i.e. for 835,164,937 is 128312780.

Thus, GCF of Fractions is 1/128312780.Finally, GCF of Fractions for 72/835, 575/164, 144/937 is 1/128312780.