Greatest Common Factor of 9782/660, 6118/1886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9782/660, 6118/1886

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 9782/660,6118/1886

Given fractions are 9782/660,6118/1886

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 9782,6118

Greatest Common Factor of Numerators i.e. GCF of 9782,6118 is 2 .

LCM of Denominators means LCM of 660,1886 as per the given fractions.

LCM of 660,1886 is 622380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9782,6118

GCF of Fractions 9782/660,6118/1886 is 2/622380

2 9782, 6118
4891, 3059

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

Greatest Common Factor of 9782,6118 By Matching Biggest Common Factor Method

Greatest Common Factor of 9782,6118 By Matching Biggest Common Factor Method

Factors of 9782

List of positive integer factors of 9782 that divides 9782 without a remainder.

1,2,67,73,134,146,4891,9782

Factors of 6118

List of positive integer factors of 6118 that divides 6118 without a remainder.

1,2,7,14,19,23,38,46,133,161,266,322,437,874,3059,6118

Greatest Common Factor

We found the factors 9782,6118 . The biggest common factor number is the GCF number.
So the greatest common factor 9782,6118 is 2.

Lets's calculate LCM of 660,1886

2 660, 1886
330, 943

∴ So the LCM of the given numbers is 2 x 330 x 943 = 622380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/622380

Therefore, the GCF of Fractions 9782/660,6118/1886 is 2/622380

Least Common Multiple of 660,1886 with GCF Formula

Least Common Multiple of 660,1886 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 660,1886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,1886) = 2

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

GCF(660,1886) x common factors =2 x 1 = 2

LCM(660,1886) = ( 660 × 1886 ) / 2

LCM(660,1886) = 1244760 / 2

LCM(660,1886) = 622380


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 9782/660, 6118/1886

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 9782/660, 6118/1886?

Answer: GCF of Numerators as per given numbers 9782/660, 6118/1886 is

GCF of Numerators i.e. for 9782,6118 is 2

LCM of denominators i.e. for 660,1886 is 622380.

Thus, GCF of Fractions is 2/622380.Finally, GCF of Fractions for 9782/660, 6118/1886 is 2/622380.