Greatest Common Factor of 611/73, 293/57, 705/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 611/73, 293/57, 705/12

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 611/73,293/57,705/12

Given fractions are 611/73,293/57,705/12

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 611,293,705

Greatest Common Factor of Numerators i.e. GCF of 611,293,705 is 1 .

LCM of Denominators means LCM of 73,57,12 as per the given fractions.

LCM of 73,57,12 is 16644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 611,293,705

GCF of Fractions 611/73,293/57,705/12 is 1/16644

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

Greatest Common Factor of 611,293,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,293,705 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 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 611,293,705 . The biggest common factor number is the GCF number.
So the greatest common factor 611,293,705 is 1.

Lets's calculate LCM of 73,57,12

3 73, 57, 12
73, 19, 4

∴ So the LCM of the given numbers is 3 x 73 x 19 x 4 = 16644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16644

Therefore, the GCF of Fractions 611/73,293/57,705/12 is 1/16644

Least Common Multiple of 73,57,12 with GCF Formula

Least Common Multiple of 73,57,12 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 73,57,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,57,12) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(73,57,12) x common factors =1 x 3 = 3

LCM(73,57,12) = ( 73 × 57 × 12 ) / 3

LCM(73,57,12) = 49932 / 3

LCM(73,57,12) = 16644


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 611/73, 293/57, 705/12

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 611/73, 293/57, 705/12?

Answer: GCF of Numerators as per given numbers 611/73, 293/57, 705/12 is

GCF of Numerators i.e. for 611,293,705 is 1

LCM of denominators i.e. for 73,57,12 is 16644.

Thus, GCF of Fractions is 1/16644.Finally, GCF of Fractions for 611/73, 293/57, 705/12 is 1/16644.