Greatest Common Factor of 270/25, 874/39, 369/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 270/25, 874/39, 369/210

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 270/25,874/39,369/210

Given fractions are 270/25,874/39,369/210

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 270,874,369

Greatest Common Factor of Numerators i.e. GCF of 270,874,369 is 1 .

LCM of Denominators means LCM of 25,39,210 as per the given fractions.

LCM of 25,39,210 is 13650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 270,874,369

GCF of Fractions 270/25,874/39,369/210 is 1/13650

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 270,874,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,874,369 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 270,874,369 . The biggest common factor number is the GCF number.
So the greatest common factor 270,874,369 is 1.

Lets's calculate LCM of 25,39,210

3 25, 39, 210
5 25, 13, 70
5, 13, 14

∴ So the LCM of the given numbers is 3 x 5 x 5 x 13 x 14 = 13650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13650

Therefore, the GCF of Fractions 270/25,874/39,369/210 is 1/13650

Least Common Multiple of 25,39,210 with GCF Formula

Least Common Multiple of 25,39,210 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 25,39,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,39,210) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(25,39,210) x common factors =1 x 15 = 15

LCM(25,39,210) = ( 25 × 39 × 210 ) / 15

LCM(25,39,210) = 204750 / 15

LCM(25,39,210) = 13650


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 270/25, 874/39, 369/210

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 270/25, 874/39, 369/210?

Answer: GCF of Numerators as per given numbers 270/25, 874/39, 369/210 is

GCF of Numerators i.e. for 270,874,369 is 1

LCM of denominators i.e. for 25,39,210 is 13650.

Thus, GCF of Fractions is 1/13650.Finally, GCF of Fractions for 270/25, 874/39, 369/210 is 1/13650.