Greatest Common Factor of 612/45, 717/14, 269/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 612/45, 717/14, 269/543

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 612/45,717/14,269/543

Given fractions are 612/45,717/14,269/543

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 612,717,269

Greatest Common Factor of Numerators i.e. GCF of 612,717,269 is 1 .

LCM of Denominators means LCM of 45,14,543 as per the given fractions.

LCM of 45,14,543 is 114030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 612,717,269

GCF of Fractions 612/45,717/14,269/543 is 1/114030

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

Greatest Common Factor of 612,717,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,717,269 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 612,717,269 . The biggest common factor number is the GCF number.
So the greatest common factor 612,717,269 is 1.

Lets's calculate LCM of 45,14,543

3 45, 14, 543
15, 14, 181

∴ So the LCM of the given numbers is 3 x 15 x 14 x 181 = 114030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114030

Therefore, the GCF of Fractions 612/45,717/14,269/543 is 1/114030

Least Common Multiple of 45,14,543 with GCF Formula

Least Common Multiple of 45,14,543 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 45,14,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,14,543) = 1

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

GCF(45,14,543) x common factors =1 x 3 = 3

LCM(45,14,543) = ( 45 × 14 × 543 ) / 3

LCM(45,14,543) = 342090 / 3

LCM(45,14,543) = 114030


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 612/45, 717/14, 269/543

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 612/45, 717/14, 269/543?

Answer: GCF of Numerators as per given numbers 612/45, 717/14, 269/543 is

GCF of Numerators i.e. for 612,717,269 is 1

LCM of denominators i.e. for 45,14,543 is 114030.

Thus, GCF of Fractions is 1/114030.Finally, GCF of Fractions for 612/45, 717/14, 269/543 is 1/114030.