Greatest Common Factor of 9893/440, 2340/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9893/440, 2340/528

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 9893/440,2340/528

Given fractions are 9893/440,2340/528

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 9893,2340

Greatest Common Factor of Numerators i.e. GCF of 9893,2340 is 13 .

LCM of Denominators means LCM of 440,528 as per the given fractions.

LCM of 440,528 is 2640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9893,2340

GCF of Fractions 9893/440,2340/528 is 13/2640

13 9893, 2340
761, 180

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9893,2340 By Matching Biggest Common Factor Method

Greatest Common Factor of 9893,2340 By Matching Biggest Common Factor Method

Factors of 9893

List of positive integer factors of 9893 that divides 9893 without a remainder.

1,13,761,9893

Factors of 2340

List of positive integer factors of 2340 that divides 2340 without a remainder.

1,2,3,4,5,6,9,10,12,13,15,18,20,26,30,36,39,45,52,60,65,78,90,117,130,156,180,195,234,260,390,468,585,780,1170,2340

Greatest Common Factor

We found the factors 9893,2340 . The biggest common factor number is the GCF number.
So the greatest common factor 9893,2340 is 13.

Lets's calculate LCM of 440,528

2 440, 528
2 220, 264
2 110, 132
11 55, 66
5, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 5 x 6 = 2640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2640

Therefore, the GCF of Fractions 9893/440,2340/528 is 13/2640

Least Common Multiple of 440,528 with GCF Formula

Least Common Multiple of 440,528 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 440,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,528) = 88

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

GCF(440,528) x common factors =88 x 1 = 88

LCM(440,528) = ( 440 × 528 ) / 88

LCM(440,528) = 232320 / 88

LCM(440,528) = 2640


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 9893/440, 2340/528

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 9893/440, 2340/528?

Answer: GCF of Numerators as per given numbers 9893/440, 2340/528 is

GCF of Numerators i.e. for 9893,2340 is 13

LCM of denominators i.e. for 440,528 is 2640.

Thus, GCF of Fractions is 13/2640.Finally, GCF of Fractions for 9893/440, 2340/528 is 13/2640.