Greatest Common Factor of 9815/80, 6255/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9815/80, 6255/272

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 9815/80,6255/272

Given fractions are 9815/80,6255/272

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 9815,6255

Greatest Common Factor of Numerators i.e. GCF of 9815,6255 is 5 .

LCM of Denominators means LCM of 80,272 as per the given fractions.

LCM of 80,272 is 1360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9815,6255

GCF of Fractions 9815/80,6255/272 is 5/1360

5 9815, 6255
1963, 1251

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9815,6255 By Matching Biggest Common Factor Method

Greatest Common Factor of 9815,6255 By Matching Biggest Common Factor Method

Factors of 9815

List of positive integer factors of 9815 that divides 9815 without a remainder.

1,5,13,65,151,755,1963,9815

Factors of 6255

List of positive integer factors of 6255 that divides 6255 without a remainder.

1,3,5,9,15,45,139,417,695,1251,2085,6255

Greatest Common Factor

We found the factors 9815,6255 . The biggest common factor number is the GCF number.
So the greatest common factor 9815,6255 is 5.

Lets's calculate LCM of 80,272

2 80, 272
2 40, 136
2 20, 68
2 10, 34
5, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 17 = 1360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1360

Therefore, the GCF of Fractions 9815/80,6255/272 is 5/1360

Least Common Multiple of 80,272 with GCF Formula

Least Common Multiple of 80,272 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 80,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,272) = 16

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

GCF(80,272) x common factors =16 x 1 = 16

LCM(80,272) = ( 80 × 272 ) / 16

LCM(80,272) = 21760 / 16

LCM(80,272) = 1360


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 9815/80, 6255/272

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 9815/80, 6255/272?

Answer: GCF of Numerators as per given numbers 9815/80, 6255/272 is

GCF of Numerators i.e. for 9815,6255 is 5

LCM of denominators i.e. for 80,272 is 1360.

Thus, GCF of Fractions is 5/1360.Finally, GCF of Fractions for 9815/80, 6255/272 is 5/1360.