Greatest Common Factor of 6424/147, 9678/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6424/147, 9678/516

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 6424/147,9678/516

Given fractions are 6424/147,9678/516

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 6424,9678

Greatest Common Factor of Numerators i.e. GCF of 6424,9678 is 2 .

LCM of Denominators means LCM of 147,516 as per the given fractions.

LCM of 147,516 is 25284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6424,9678

GCF of Fractions 6424/147,9678/516 is 2/25284

2 6424, 9678
3212, 4839

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

Greatest Common Factor of 6424,9678 By Matching Biggest Common Factor Method

Greatest Common Factor of 6424,9678 By Matching Biggest Common Factor Method

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424

Factors of 9678

List of positive integer factors of 9678 that divides 9678 without a remainder.

1,2,3,6,1613,3226,4839,9678

Greatest Common Factor

We found the factors 6424,9678 . The biggest common factor number is the GCF number.
So the greatest common factor 6424,9678 is 2.

Lets's calculate LCM of 147,516

3 147, 516
49, 172

∴ So the LCM of the given numbers is 3 x 49 x 172 = 25284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25284

Therefore, the GCF of Fractions 6424/147,9678/516 is 2/25284

Least Common Multiple of 147,516 with GCF Formula

Least Common Multiple of 147,516 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 147,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,516) = 3

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

GCF(147,516) x common factors =3 x 1 = 3

LCM(147,516) = ( 147 × 516 ) / 3

LCM(147,516) = 75852 / 3

LCM(147,516) = 25284


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 6424/147, 9678/516

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 6424/147, 9678/516?

Answer: GCF of Numerators as per given numbers 6424/147, 9678/516 is

GCF of Numerators i.e. for 6424,9678 is 2

LCM of denominators i.e. for 147,516 is 25284.

Thus, GCF of Fractions is 2/25284.Finally, GCF of Fractions for 6424/147, 9678/516 is 2/25284.