Greatest Common Factor of 72/144, 332/868, 930/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 72/144, 332/868, 930/997

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 72/144,332/868,930/997

Given fractions are 72/144,332/868,930/997

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 72,332,930

Greatest Common Factor of Numerators i.e. GCF of 72,332,930 is 2 .

LCM of Denominators means LCM of 144,868,997 as per the given fractions.

LCM of 144,868,997 is 31154256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,332,930

GCF of Fractions 72/144,332/868,930/997 is 2/31154256

2 72, 332, 930
36, 166, 465

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

Greatest Common Factor of 72,332,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,332,930 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 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 72,332,930 . The biggest common factor number is the GCF number.
So the greatest common factor 72,332,930 is 2.


Lets's calculate LCM of 144,868,997

2 144, 868, 997
2 72, 434, 997
36, 217, 997

∴ So the LCM of the given numbers is 2 x 2 x 36 x 217 x 997 = 31154256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31154256

Therefore, the GCF of Fractions 72/144,332/868,930/997 is 2/31154256

Least Common Multiple of 144,868,997 with GCF Formula

Least Common Multiple of 144,868,997 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 144,868,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,868,997) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(144,868,997) x common factors =1 x 4 = 4

LCM(144,868,997) = ( 144 × 868 × 997 ) / 4

LCM(144,868,997) = 124617024 / 4

LCM(144,868,997) = 31154256


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 72/144, 332/868, 930/997

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 72/144, 332/868, 930/997?

Answer: GCF of Numerators as per given numbers 72/144, 332/868, 930/997 is

GCF of Numerators i.e. for 72,332,930 is 2

LCM of denominators i.e. for 144,868,997 is 31154256.

Thus, GCF of Fractions is 2/31154256.Finally, GCF of Fractions for 72/144, 332/868, 930/997 is 2/31154256.