Greatest Common Factor of 9840/480, 2657/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9840/480, 2657/868

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 9840/480,2657/868

Given fractions are 9840/480,2657/868

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 9840,2657

Greatest Common Factor of Numerators i.e. GCF of 9840,2657 is 1 .

LCM of Denominators means LCM of 480,868 as per the given fractions.

LCM of 480,868 is 104160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9840,2657

GCF of Fractions 9840/480,2657/868 is 1/104160

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

Greatest Common Factor of 9840,2657 By Matching Biggest Common Factor Method

Greatest Common Factor of 9840,2657 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 2657

List of positive integer factors of 2657 that divides 2657 without a remainder.

1,2657

Greatest Common Factor

We found the factors 9840,2657 . The biggest common factor number is the GCF number.
So the greatest common factor 9840,2657 is 1.

Lets's calculate LCM of 480,868

2 480, 868
2 240, 434
120, 217

∴ So the LCM of the given numbers is 2 x 2 x 120 x 217 = 104160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104160

Therefore, the GCF of Fractions 9840/480,2657/868 is 1/104160

Least Common Multiple of 480,868 with GCF Formula

Least Common Multiple of 480,868 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 480,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,868) = 4

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

GCF(480,868) x common factors =4 x 1 = 4

LCM(480,868) = ( 480 × 868 ) / 4

LCM(480,868) = 416640 / 4

LCM(480,868) = 104160


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 9840/480, 2657/868

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 9840/480, 2657/868?

Answer: GCF of Numerators as per given numbers 9840/480, 2657/868 is

GCF of Numerators i.e. for 9840,2657 is 1

LCM of denominators i.e. for 480,868 is 104160.

Thus, GCF of Fractions is 1/104160.Finally, GCF of Fractions for 9840/480, 2657/868 is 1/104160.