Greatest Common Factor of 72/884, 712/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/884, 712/597

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 72/884,712/597

Given fractions are 72/884,712/597

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 72,712

Greatest Common Factor of Numerators i.e. GCF of 72,712 is 8 .

LCM of Denominators means LCM of 884,597 as per the given fractions.

LCM of 884,597 is 527748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,712

GCF of Fractions 72/884,712/597 is 8/527748

2 72, 712
2 36, 356
2 18, 178
9, 89

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 72,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,712 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 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 72,712 . The biggest common factor number is the GCF number.
So the greatest common factor 72,712 is 8.

Lets's calculate LCM of 884,597

Given numbers has no common factors except 1. So, there LCM is their product i.e 527748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/527748

Therefore, the GCF of Fractions 72/884,712/597 is 8/527748

Least Common Multiple of 884,597 with GCF Formula

Least Common Multiple of 884,597 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 884,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,597) = 1

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

GCF(884,597) x common factors =1 x 1 = 1

LCM(884,597) = ( 884 × 597 ) / 1

LCM(884,597) = 527748 / 1

LCM(884,597) = 527748


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 72/884, 712/597

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 72/884, 712/597?

Answer: GCF of Numerators as per given numbers 72/884, 712/597 is

GCF of Numerators i.e. for 72,712 is 8

LCM of denominators i.e. for 884,597 is 527748.

Thus, GCF of Fractions is 8/527748.Finally, GCF of Fractions for 72/884, 712/597 is 8/527748.