Greatest Common Factor of 517/972, 6644/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 517/972, 6644/438

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 517/972,6644/438

Given fractions are 517/972,6644/438

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 517,6644

Greatest Common Factor of Numerators i.e. GCF of 517,6644 is 11 .

LCM of Denominators means LCM of 972,438 as per the given fractions.

LCM of 972,438 is 70956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 517,6644

GCF of Fractions 517/972,6644/438 is 11/70956

11 517, 6644
47, 604

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 517,6644 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,6644 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 6644

List of positive integer factors of 6644 that divides 6644 without a remainder.

1,2,4,11,22,44,151,302,604,1661,3322,6644

Greatest Common Factor

We found the factors 517,6644 . The biggest common factor number is the GCF number.
So the greatest common factor 517,6644 is 11.

Lets's calculate LCM of 972,438

2 972, 438
3 486, 219
162, 73

∴ So the LCM of the given numbers is 2 x 3 x 162 x 73 = 70956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/70956

Therefore, the GCF of Fractions 517/972,6644/438 is 11/70956

Least Common Multiple of 972,438 with GCF Formula

Least Common Multiple of 972,438 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 972,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,438) = 6

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

GCF(972,438) x common factors =6 x 1 = 6

LCM(972,438) = ( 972 × 438 ) / 6

LCM(972,438) = 425736 / 6

LCM(972,438) = 70956


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 517/972, 6644/438

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 517/972, 6644/438?

Answer: GCF of Numerators as per given numbers 517/972, 6644/438 is

GCF of Numerators i.e. for 517,6644 is 11

LCM of denominators i.e. for 972,438 is 70956.

Thus, GCF of Fractions is 11/70956.Finally, GCF of Fractions for 517/972, 6644/438 is 11/70956.