Greatest Common Factor of 2565/425, 1998/5110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2565/425, 1998/5110

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 2565/425,1998/5110

Given fractions are 2565/425,1998/5110

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 2565,1998

Greatest Common Factor of Numerators i.e. GCF of 2565,1998 is 27 .

LCM of Denominators means LCM of 425,5110 as per the given fractions.

LCM of 425,5110 is 434350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2565,1998

GCF of Fractions 2565/425,1998/5110 is 27/434350

3 2565, 1998
3 855, 666
3 285, 222
95, 74

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 2565,1998 By Matching Biggest Common Factor Method

Greatest Common Factor of 2565,1998 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 1998

List of positive integer factors of 1998 that divides 1998 without a remainder.

1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998

Greatest Common Factor

We found the factors 2565,1998 . The biggest common factor number is the GCF number.
So the greatest common factor 2565,1998 is 27.

Lets's calculate LCM of 425,5110

5 425, 5110
85, 1022

∴ So the LCM of the given numbers is 5 x 85 x 1022 = 434350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/434350

Therefore, the GCF of Fractions 2565/425,1998/5110 is 27/434350

Least Common Multiple of 425,5110 with GCF Formula

Least Common Multiple of 425,5110 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 425,5110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,5110) = 5

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

GCF(425,5110) x common factors =5 x 1 = 5

LCM(425,5110) = ( 425 × 5110 ) / 5

LCM(425,5110) = 2171750 / 5

LCM(425,5110) = 434350


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 2565/425, 1998/5110

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 2565/425, 1998/5110?

Answer: GCF of Numerators as per given numbers 2565/425, 1998/5110 is

GCF of Numerators i.e. for 2565,1998 is 27

LCM of denominators i.e. for 425,5110 is 434350.

Thus, GCF of Fractions is 27/434350.Finally, GCF of Fractions for 2565/425, 1998/5110 is 27/434350.