Greatest Common Factor of 611/241, 693/250, 270/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 611/241, 693/250, 270/312

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 611/241,693/250,270/312

Given fractions are 611/241,693/250,270/312

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 611,693,270

Greatest Common Factor of Numerators i.e. GCF of 611,693,270 is 1 .

LCM of Denominators means LCM of 241,250,312 as per the given fractions.

LCM of 241,250,312 is 9399000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 611,693,270

GCF of Fractions 611/241,693/250,270/312 is 1/9399000

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

Greatest Common Factor of 611,693,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,693,270 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

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

Greatest Common Factor

We found the factors 611,693,270 . The biggest common factor number is the GCF number.
So the greatest common factor 611,693,270 is 1.

Lets's calculate LCM of 241,250,312

2 241, 250, 312
241, 125, 156

∴ So the LCM of the given numbers is 2 x 241 x 125 x 156 = 9399000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9399000

Therefore, the GCF of Fractions 611/241,693/250,270/312 is 1/9399000

Least Common Multiple of 241,250,312 with GCF Formula

Least Common Multiple of 241,250,312 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 241,250,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,250,312) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(241,250,312) x common factors =1 x 2 = 2

LCM(241,250,312) = ( 241 × 250 × 312 ) / 2

LCM(241,250,312) = 18798000 / 2

LCM(241,250,312) = 9399000


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 611/241, 693/250, 270/312

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 611/241, 693/250, 270/312?

Answer: GCF of Numerators as per given numbers 611/241, 693/250, 270/312 is

GCF of Numerators i.e. for 611,693,270 is 1

LCM of denominators i.e. for 241,250,312 is 9399000.

Thus, GCF of Fractions is 1/9399000.Finally, GCF of Fractions for 611/241, 693/250, 270/312 is 1/9399000.