Greatest Common Factor of 9865/115, 5440/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9865/115, 5440/653

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 9865/115,5440/653

Given fractions are 9865/115,5440/653

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 9865,5440

Greatest Common Factor of Numerators i.e. GCF of 9865,5440 is 5 .

LCM of Denominators means LCM of 115,653 as per the given fractions.

LCM of 115,653 is 75095 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9865,5440

GCF of Fractions 9865/115,5440/653 is 5/75095

5 9865, 5440
1973, 1088

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

Greatest Common Factor of 9865,5440 By Matching Biggest Common Factor Method

Greatest Common Factor of 9865,5440 By Matching Biggest Common Factor Method

Factors of 9865

List of positive integer factors of 9865 that divides 9865 without a remainder.

1,5,1973,9865

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

Greatest Common Factor

We found the factors 9865,5440 . The biggest common factor number is the GCF number.
So the greatest common factor 9865,5440 is 5.

Lets's calculate LCM of 115,653

Given numbers has no common factors except 1. So, there LCM is their product i.e 75095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/75095

Therefore, the GCF of Fractions 9865/115,5440/653 is 5/75095

Least Common Multiple of 115,653 with GCF Formula

Least Common Multiple of 115,653 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 115,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,653) = 1

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

GCF(115,653) x common factors =1 x 1 = 1

LCM(115,653) = ( 115 × 653 ) / 1

LCM(115,653) = 75095 / 1

LCM(115,653) = 75095


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 9865/115, 5440/653

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 9865/115, 5440/653?

Answer: GCF of Numerators as per given numbers 9865/115, 5440/653 is

GCF of Numerators i.e. for 9865,5440 is 5

LCM of denominators i.e. for 115,653 is 75095.

Thus, GCF of Fractions is 5/75095.Finally, GCF of Fractions for 9865/115, 5440/653 is 5/75095.