Greatest Common Factor of 84/144, 875/593, 932/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/144, 875/593, 932/133

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 84/144,875/593,932/133

Given fractions are 84/144,875/593,932/133

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 84,875,932

Greatest Common Factor of Numerators i.e. GCF of 84,875,932 is 1 .

LCM of Denominators means LCM of 144,593,133 as per the given fractions.

LCM of 144,593,133 is 11357136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,875,932

GCF of Fractions 84/144,875/593,932/133 is 1/11357136

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

Greatest Common Factor of 84,875,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,875,932 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 84,875,932 . The biggest common factor number is the GCF number.
So the greatest common factor 84,875,932 is 1.

Lets's calculate LCM of 144,593,133

Given numbers has no common factors except 1. So, there LCM is their product i.e 11357136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11357136

Therefore, the GCF of Fractions 84/144,875/593,932/133 is 1/11357136

Least Common Multiple of 144,593,133 with GCF Formula

Least Common Multiple of 144,593,133 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 144,593,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,593,133) = 1

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

GCF(144,593,133) x common factors =1 x 1 = 1

LCM(144,593,133) = ( 144 × 593 × 133 ) / 1

LCM(144,593,133) = 11357136 / 1

LCM(144,593,133) = 11357136


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 84/144, 875/593, 932/133

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 84/144, 875/593, 932/133?

Answer: GCF of Numerators as per given numbers 84/144, 875/593, 932/133 is

GCF of Numerators i.e. for 84,875,932 is 1

LCM of denominators i.e. for 144,593,133 is 11357136.

Thus, GCF of Fractions is 1/11357136.Finally, GCF of Fractions for 84/144, 875/593, 932/133 is 1/11357136.