Greatest Common Factor of 9883/133, 6540/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9883/133, 6540/774

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 9883/133,6540/774

Given fractions are 9883/133,6540/774

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 9883,6540

Greatest Common Factor of Numerators i.e. GCF of 9883,6540 is 1 .

LCM of Denominators means LCM of 133,774 as per the given fractions.

LCM of 133,774 is 102942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9883,6540

GCF of Fractions 9883/133,6540/774 is 1/102942

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

Greatest Common Factor of 9883,6540 By Matching Biggest Common Factor Method

Greatest Common Factor of 9883,6540 By Matching Biggest Common Factor Method

Factors of 9883

List of positive integer factors of 9883 that divides 9883 without a remainder.

1,9883

Factors of 6540

List of positive integer factors of 6540 that divides 6540 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540

Greatest Common Factor

We found the factors 9883,6540 . The biggest common factor number is the GCF number.
So the greatest common factor 9883,6540 is 1.

Lets's calculate LCM of 133,774

Given numbers has no common factors except 1. So, there LCM is their product i.e 102942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102942

Therefore, the GCF of Fractions 9883/133,6540/774 is 1/102942

Least Common Multiple of 133,774 with GCF Formula

Least Common Multiple of 133,774 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 133,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,774) = 1

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

GCF(133,774) x common factors =1 x 1 = 1

LCM(133,774) = ( 133 × 774 ) / 1

LCM(133,774) = 102942 / 1

LCM(133,774) = 102942


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 9883/133, 6540/774

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 9883/133, 6540/774?

Answer: GCF of Numerators as per given numbers 9883/133, 6540/774 is

GCF of Numerators i.e. for 9883,6540 is 1

LCM of denominators i.e. for 133,774 is 102942.

Thus, GCF of Fractions is 1/102942.Finally, GCF of Fractions for 9883/133, 6540/774 is 1/102942.