Greatest Common Factor of 270/7547, 859/9499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 270/7547, 859/9499

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 270/7547,859/9499

Given fractions are 270/7547,859/9499

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 270,859

Greatest Common Factor of Numerators i.e. GCF of 270,859 is 1 .

LCM of Denominators means LCM of 7547,9499 as per the given fractions.

LCM of 7547,9499 is 71688953 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 270,859

GCF of Fractions 270/7547,859/9499 is 1/71688953

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

Greatest Common Factor of 270,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,859 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 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 270,859 . The biggest common factor number is the GCF number.
So the greatest common factor 270,859 is 1.

Lets's calculate LCM of 7547,9499

Given numbers has no common factors except 1. So, there LCM is their product i.e 71688953

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71688953

Therefore, the GCF of Fractions 270/7547,859/9499 is 1/71688953

Least Common Multiple of 7547,9499 with GCF Formula

Least Common Multiple of 7547,9499 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 7547,9499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7547,9499) = 1

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

GCF(7547,9499) x common factors =1 x 1 = 1

LCM(7547,9499) = ( 7547 × 9499 ) / 1

LCM(7547,9499) = 71688953 / 1

LCM(7547,9499) = 71688953


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 270/7547, 859/9499

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 270/7547, 859/9499?

Answer: GCF of Numerators as per given numbers 270/7547, 859/9499 is

GCF of Numerators i.e. for 270,859 is 1

LCM of denominators i.e. for 7547,9499 is 71688953.

Thus, GCF of Fractions is 1/71688953.Finally, GCF of Fractions for 270/7547, 859/9499 is 1/71688953.