Greatest Common Factor of 2559/30, 9042/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2559/30, 9042/870

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 2559/30,9042/870

Given fractions are 2559/30,9042/870

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 2559,9042

Greatest Common Factor of Numerators i.e. GCF of 2559,9042 is 3 .

LCM of Denominators means LCM of 30,870 as per the given fractions.

LCM of 30,870 is 870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2559,9042

GCF of Fractions 2559/30,9042/870 is 3/870

3 2559, 9042
853, 3014

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

Greatest Common Factor of 2559,9042 By Matching Biggest Common Factor Method

Greatest Common Factor of 2559,9042 By Matching Biggest Common Factor Method

Factors of 2559

List of positive integer factors of 2559 that divides 2559 without a remainder.

1,3,853,2559

Factors of 9042

List of positive integer factors of 9042 that divides 9042 without a remainder.

1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042

Greatest Common Factor

We found the factors 2559,9042 . The biggest common factor number is the GCF number.
So the greatest common factor 2559,9042 is 3.

Lets's calculate LCM of 30,870

2 30, 870
3 15, 435
5 5, 145
1, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 29 = 870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/870

Therefore, the GCF of Fractions 2559/30,9042/870 is 3/870

Least Common Multiple of 30,870 with GCF Formula

Least Common Multiple of 30,870 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 30,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,870) = 30

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

GCF(30,870) x common factors =30 x 1 = 30

LCM(30,870) = ( 30 × 870 ) / 30

LCM(30,870) = 26100 / 30

LCM(30,870) = 870


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 2559/30, 9042/870

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 2559/30, 9042/870?

Answer: GCF of Numerators as per given numbers 2559/30, 9042/870 is

GCF of Numerators i.e. for 2559,9042 is 3

LCM of denominators i.e. for 30,870 is 870.

Thus, GCF of Fractions is 3/870.Finally, GCF of Fractions for 2559/30, 9042/870 is 3/870.