Greatest Common Factor of 13/734, 481/769, 714/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/734, 481/769, 714/143

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 13/734,481/769,714/143

Given fractions are 13/734,481/769,714/143

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 13,481,714

Greatest Common Factor of Numerators i.e. GCF of 13,481,714 is 1 .

LCM of Denominators means LCM of 734,769,143 as per the given fractions.

LCM of 734,769,143 is 80715778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,481,714

GCF of Fractions 13/734,481/769,714/143 is 1/80715778

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

Greatest Common Factor of 13,481,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,481,714 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 13,481,714 . The biggest common factor number is the GCF number.
So the greatest common factor 13,481,714 is 1.

Lets's calculate LCM of 734,769,143

Given numbers has no common factors except 1. So, there LCM is their product i.e 80715778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80715778

Therefore, the GCF of Fractions 13/734,481/769,714/143 is 1/80715778

Least Common Multiple of 734,769,143 with GCF Formula

Least Common Multiple of 734,769,143 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 734,769,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,769,143) = 1

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

GCF(734,769,143) x common factors =1 x 1 = 1

LCM(734,769,143) = ( 734 × 769 × 143 ) / 1

LCM(734,769,143) = 80715778 / 1

LCM(734,769,143) = 80715778


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 13/734, 481/769, 714/143

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 13/734, 481/769, 714/143?

Answer: GCF of Numerators as per given numbers 13/734, 481/769, 714/143 is

GCF of Numerators i.e. for 13,481,714 is 1

LCM of denominators i.e. for 734,769,143 is 80715778.

Thus, GCF of Fractions is 1/80715778.Finally, GCF of Fractions for 13/734, 481/769, 714/143 is 1/80715778.