Greatest Common Factor of 9840/711, 5101/9656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9840/711, 5101/9656

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 9840/711,5101/9656

Given fractions are 9840/711,5101/9656

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 9840,5101

Greatest Common Factor of Numerators i.e. GCF of 9840,5101 is 1 .

LCM of Denominators means LCM of 711,9656 as per the given fractions.

LCM of 711,9656 is 6865416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9840,5101

GCF of Fractions 9840/711,5101/9656 is 1/6865416

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

Greatest Common Factor of 9840,5101 By Matching Biggest Common Factor Method

Greatest Common Factor of 9840,5101 By Matching Biggest Common Factor Method

Factors of 9840

List of positive integer factors of 9840 that divides 9840 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,41,48,60,80,82,120,123,164,205,240,246,328,410,492,615,656,820,984,1230,1640,1968,2460,3280,4920,9840

Factors of 5101

List of positive integer factors of 5101 that divides 5101 without a remainder.

1,5101

Greatest Common Factor

We found the factors 9840,5101 . The biggest common factor number is the GCF number.
So the greatest common factor 9840,5101 is 1.

Lets's calculate LCM of 711,9656

Given numbers has no common factors except 1. So, there LCM is their product i.e 6865416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6865416

Therefore, the GCF of Fractions 9840/711,5101/9656 is 1/6865416

Least Common Multiple of 711,9656 with GCF Formula

Least Common Multiple of 711,9656 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 711,9656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,9656) = 1

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

GCF(711,9656) x common factors =1 x 1 = 1

LCM(711,9656) = ( 711 × 9656 ) / 1

LCM(711,9656) = 6865416 / 1

LCM(711,9656) = 6865416


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 9840/711, 5101/9656

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 9840/711, 5101/9656?

Answer: GCF of Numerators as per given numbers 9840/711, 5101/9656 is

GCF of Numerators i.e. for 9840,5101 is 1

LCM of denominators i.e. for 711,9656 is 6865416.

Thus, GCF of Fractions is 1/6865416.Finally, GCF of Fractions for 9840/711, 5101/9656 is 1/6865416.