Greatest Common Factor of 5466/660, 8985/5974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5466/660, 8985/5974

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 5466/660,8985/5974

Given fractions are 5466/660,8985/5974

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 5466,8985

Greatest Common Factor of Numerators i.e. GCF of 5466,8985 is 3 .

LCM of Denominators means LCM of 660,5974 as per the given fractions.

LCM of 660,5974 is 1971420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5466,8985

GCF of Fractions 5466/660,8985/5974 is 3/1971420

3 5466, 8985
1822, 2995

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5466,8985 By Matching Biggest Common Factor Method

Greatest Common Factor of 5466,8985 By Matching Biggest Common Factor Method

Factors of 5466

List of positive integer factors of 5466 that divides 5466 without a remainder.

1,2,3,6,911,1822,2733,5466

Factors of 8985

List of positive integer factors of 8985 that divides 8985 without a remainder.

1,3,5,15,599,1797,2995,8985

Greatest Common Factor

We found the factors 5466,8985 . The biggest common factor number is the GCF number.
So the greatest common factor 5466,8985 is 3.

Lets's calculate LCM of 660,5974

2 660, 5974
330, 2987

∴ So the LCM of the given numbers is 2 x 330 x 2987 = 1971420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1971420

Therefore, the GCF of Fractions 5466/660,8985/5974 is 3/1971420

Least Common Multiple of 660,5974 with GCF Formula

Least Common Multiple of 660,5974 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 660,5974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,5974) = 2

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

GCF(660,5974) x common factors =2 x 1 = 2

LCM(660,5974) = ( 660 × 5974 ) / 2

LCM(660,5974) = 3942840 / 2

LCM(660,5974) = 1971420


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 5466/660, 8985/5974

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 5466/660, 8985/5974?

Answer: GCF of Numerators as per given numbers 5466/660, 8985/5974 is

GCF of Numerators i.e. for 5466,8985 is 3

LCM of denominators i.e. for 660,5974 is 1971420.

Thus, GCF of Fractions is 3/1971420.Finally, GCF of Fractions for 5466/660, 8985/5974 is 3/1971420.