Greatest Common Factor of 686/39, 732/53, 519/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/39, 732/53, 519/567

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 686/39,732/53,519/567

Given fractions are 686/39,732/53,519/567

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 686,732,519

Greatest Common Factor of Numerators i.e. GCF of 686,732,519 is 1 .

LCM of Denominators means LCM of 39,53,567 as per the given fractions.

LCM of 39,53,567 is 390663 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,732,519

GCF of Fractions 686/39,732/53,519/567 is 1/390663

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

Greatest Common Factor of 686,732,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,732,519 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 686,732,519 . The biggest common factor number is the GCF number.
So the greatest common factor 686,732,519 is 1.

Lets's calculate LCM of 39,53,567

3 39, 53, 567
13, 53, 189

∴ So the LCM of the given numbers is 3 x 13 x 53 x 189 = 390663

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390663

Therefore, the GCF of Fractions 686/39,732/53,519/567 is 1/390663

Least Common Multiple of 39,53,567 with GCF Formula

Least Common Multiple of 39,53,567 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 39,53,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,53,567) = 1

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

GCF(39,53,567) x common factors =1 x 3 = 3

LCM(39,53,567) = ( 39 × 53 × 567 ) / 3

LCM(39,53,567) = 1171989 / 3

LCM(39,53,567) = 390663


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 686/39, 732/53, 519/567

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 686/39, 732/53, 519/567?

Answer: GCF of Numerators as per given numbers 686/39, 732/53, 519/567 is

GCF of Numerators i.e. for 686,732,519 is 1

LCM of denominators i.e. for 39,53,567 is 390663.

Thus, GCF of Fractions is 1/390663.Finally, GCF of Fractions for 686/39, 732/53, 519/567 is 1/390663.