Greatest Common Factor of 8996/984, 6546/6343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8996/984, 6546/6343

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 8996/984,6546/6343

Given fractions are 8996/984,6546/6343

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 8996,6546

Greatest Common Factor of Numerators i.e. GCF of 8996,6546 is 2 .

LCM of Denominators means LCM of 984,6343 as per the given fractions.

LCM of 984,6343 is 6241512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8996,6546

GCF of Fractions 8996/984,6546/6343 is 2/6241512

2 8996, 6546
4498, 3273

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

Greatest Common Factor of 8996,6546 By Matching Biggest Common Factor Method

Greatest Common Factor of 8996,6546 By Matching Biggest Common Factor Method

Factors of 8996

List of positive integer factors of 8996 that divides 8996 without a remainder.

1,2,4,13,26,52,173,346,692,2249,4498,8996

Factors of 6546

List of positive integer factors of 6546 that divides 6546 without a remainder.

1,2,3,6,1091,2182,3273,6546

Greatest Common Factor

We found the factors 8996,6546 . The biggest common factor number is the GCF number.
So the greatest common factor 8996,6546 is 2.

Lets's calculate LCM of 984,6343

Given numbers has no common factors except 1. So, there LCM is their product i.e 6241512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6241512

Therefore, the GCF of Fractions 8996/984,6546/6343 is 2/6241512

Least Common Multiple of 984,6343 with GCF Formula

Least Common Multiple of 984,6343 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 984,6343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,6343) = 1

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

GCF(984,6343) x common factors =1 x 1 = 1

LCM(984,6343) = ( 984 × 6343 ) / 1

LCM(984,6343) = 6241512 / 1

LCM(984,6343) = 6241512


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 8996/984, 6546/6343

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 8996/984, 6546/6343?

Answer: GCF of Numerators as per given numbers 8996/984, 6546/6343 is

GCF of Numerators i.e. for 8996,6546 is 2

LCM of denominators i.e. for 984,6343 is 6241512.

Thus, GCF of Fractions is 2/6241512.Finally, GCF of Fractions for 8996/984, 6546/6343 is 2/6241512.