Greatest Common Factor of 2565/85, 9620/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2565/85, 9620/889

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 2565/85,9620/889

Given fractions are 2565/85,9620/889

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 2565,9620

Greatest Common Factor of Numerators i.e. GCF of 2565,9620 is 5 .

LCM of Denominators means LCM of 85,889 as per the given fractions.

LCM of 85,889 is 75565 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2565,9620

GCF of Fractions 2565/85,9620/889 is 5/75565

5 2565, 9620
513, 1924

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

Greatest Common Factor of 2565,9620 By Matching Biggest Common Factor Method

Greatest Common Factor of 2565,9620 By Matching Biggest Common Factor Method

Factors of 2565

List of positive integer factors of 2565 that divides 2565 without a remainder.

1,3,5,9,15,19,27,45,57,95,135,171,285,513,855,2565

Factors of 9620

List of positive integer factors of 9620 that divides 9620 without a remainder.

1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620

Greatest Common Factor

We found the factors 2565,9620 . The biggest common factor number is the GCF number.
So the greatest common factor 2565,9620 is 5.

Lets's calculate LCM of 85,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 75565

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/75565

Therefore, the GCF of Fractions 2565/85,9620/889 is 5/75565

Least Common Multiple of 85,889 with GCF Formula

Least Common Multiple of 85,889 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 85,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,889) = 1

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

GCF(85,889) x common factors =1 x 1 = 1

LCM(85,889) = ( 85 × 889 ) / 1

LCM(85,889) = 75565 / 1

LCM(85,889) = 75565


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 2565/85, 9620/889

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 2565/85, 9620/889?

Answer: GCF of Numerators as per given numbers 2565/85, 9620/889 is

GCF of Numerators i.e. for 2565,9620 is 5

LCM of denominators i.e. for 85,889 is 75565.

Thus, GCF of Fractions is 5/75565.Finally, GCF of Fractions for 2565/85, 9620/889 is 5/75565.