Greatest Common Factor of 588/27, 714/6500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 588/27, 714/6500

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 588/27,714/6500

Given fractions are 588/27,714/6500

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 588,714

Greatest Common Factor of Numerators i.e. GCF of 588,714 is 42 .

LCM of Denominators means LCM of 27,6500 as per the given fractions.

LCM of 27,6500 is 175500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 588,714

GCF of Fractions 588/27,714/6500 is 42/175500

2 588, 714
3 294, 357
7 98, 119
14, 17

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 588,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,714 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

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 588,714 . The biggest common factor number is the GCF number.
So the greatest common factor 588,714 is 42.

Lets's calculate LCM of 27,6500

Given numbers has no common factors except 1. So, there LCM is their product i.e 175500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/175500

Therefore, the GCF of Fractions 588/27,714/6500 is 42/175500

Least Common Multiple of 27,6500 with GCF Formula

Least Common Multiple of 27,6500 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 27,6500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,6500) = 1

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

GCF(27,6500) x common factors =1 x 1 = 1

LCM(27,6500) = ( 27 × 6500 ) / 1

LCM(27,6500) = 175500 / 1

LCM(27,6500) = 175500


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 588/27, 714/6500

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 588/27, 714/6500?

Answer: GCF of Numerators as per given numbers 588/27, 714/6500 is

GCF of Numerators i.e. for 588,714 is 42

LCM of denominators i.e. for 27,6500 is 175500.

Thus, GCF of Fractions is 42/175500.Finally, GCF of Fractions for 588/27, 714/6500 is 42/175500.