Greatest Common Factor of 6612/96, 1799/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6612/96, 1799/984

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 6612/96,1799/984

Given fractions are 6612/96,1799/984

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 6612,1799

Greatest Common Factor of Numerators i.e. GCF of 6612,1799 is 1 .

LCM of Denominators means LCM of 96,984 as per the given fractions.

LCM of 96,984 is 3936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6612,1799

GCF of Fractions 6612/96,1799/984 is 1/3936

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6612,1799 By Matching Biggest Common Factor Method

Greatest Common Factor of 6612,1799 By Matching Biggest Common Factor Method

Factors of 6612

List of positive integer factors of 6612 that divides 6612 without a remainder.

1,2,3,4,6,12,19,29,38,57,58,76,87,114,116,174,228,348,551,1102,1653,2204,3306,6612

Factors of 1799

List of positive integer factors of 1799 that divides 1799 without a remainder.

1,7,257,1799

Greatest Common Factor

We found the factors 6612,1799 . The biggest common factor number is the GCF number.
So the greatest common factor 6612,1799 is 1.


Lets's calculate LCM of 96,984

2 96, 984
2 48, 492
2 24, 246
3 12, 123
4, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 41 = 3936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3936

Therefore, the GCF of Fractions 6612/96,1799/984 is 1/3936

Least Common Multiple of 96,984 with GCF Formula

Least Common Multiple of 96,984 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 96,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,984) = 24

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

GCF(96,984) x common factors =24 x 1 = 24

LCM(96,984) = ( 96 × 984 ) / 24

LCM(96,984) = 94464 / 24

LCM(96,984) = 3936


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 6612/96, 1799/984

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 6612/96, 1799/984?

Answer: GCF of Numerators as per given numbers 6612/96, 1799/984 is

GCF of Numerators i.e. for 6612,1799 is 1

LCM of denominators i.e. for 96,984 is 3936.

Thus, GCF of Fractions is 1/3936.Finally, GCF of Fractions for 6612/96, 1799/984 is 1/3936.