Greatest Common Factor of 9901/660, 2140/9674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9901/660, 2140/9674

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 9901/660,2140/9674

Given fractions are 9901/660,2140/9674

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 9901,2140

Greatest Common Factor of Numerators i.e. GCF of 9901,2140 is 1 .

LCM of Denominators means LCM of 660,9674 as per the given fractions.

LCM of 660,9674 is 3192420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9901,2140

GCF of Fractions 9901/660,2140/9674 is 1/3192420

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

Greatest Common Factor of 9901,2140 By Matching Biggest Common Factor Method

Greatest Common Factor of 9901,2140 By Matching Biggest Common Factor Method

Factors of 9901

List of positive integer factors of 9901 that divides 9901 without a remainder.

1,9901

Factors of 2140

List of positive integer factors of 2140 that divides 2140 without a remainder.

1,2,4,5,10,20,107,214,428,535,1070,2140

Greatest Common Factor

We found the factors 9901,2140 . The biggest common factor number is the GCF number.
So the greatest common factor 9901,2140 is 1.

Lets's calculate LCM of 660,9674

2 660, 9674
330, 4837

∴ So the LCM of the given numbers is 2 x 330 x 4837 = 3192420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3192420

Therefore, the GCF of Fractions 9901/660,2140/9674 is 1/3192420

Least Common Multiple of 660,9674 with GCF Formula

Least Common Multiple of 660,9674 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 660,9674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,9674) = 2

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

GCF(660,9674) x common factors =2 x 1 = 2

LCM(660,9674) = ( 660 × 9674 ) / 2

LCM(660,9674) = 6384840 / 2

LCM(660,9674) = 3192420


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 9901/660, 2140/9674

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 9901/660, 2140/9674?

Answer: GCF of Numerators as per given numbers 9901/660, 2140/9674 is

GCF of Numerators i.e. for 9901,2140 is 1

LCM of denominators i.e. for 660,9674 is 3192420.

Thus, GCF of Fractions is 1/3192420.Finally, GCF of Fractions for 9901/660, 2140/9674 is 1/3192420.