Greatest Common Factor of 594/710, 918/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 594/710, 918/359

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 594/710,918/359

Given fractions are 594/710,918/359

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 594,918

Greatest Common Factor of Numerators i.e. GCF of 594,918 is 54 .

LCM of Denominators means LCM of 710,359 as per the given fractions.

LCM of 710,359 is 254890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 594,918

GCF of Fractions 594/710,918/359 is 54/254890

2 594, 918
3 297, 459
3 99, 153
3 33, 51
11, 17

∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54

Greatest Common Factor of 594,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,918 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 594,918 . The biggest common factor number is the GCF number.
So the greatest common factor 594,918 is 54.

Lets's calculate LCM of 710,359

Given numbers has no common factors except 1. So, there LCM is their product i.e 254890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/254890

Therefore, the GCF of Fractions 594/710,918/359 is 54/254890

Least Common Multiple of 710,359 with GCF Formula

Least Common Multiple of 710,359 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 710,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,359) = 1

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

GCF(710,359) x common factors =1 x 1 = 1

LCM(710,359) = ( 710 × 359 ) / 1

LCM(710,359) = 254890 / 1

LCM(710,359) = 254890


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 594/710, 918/359

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 594/710, 918/359?

Answer: GCF of Numerators as per given numbers 594/710, 918/359 is

GCF of Numerators i.e. for 594,918 is 54

LCM of denominators i.e. for 710,359 is 254890.

Thus, GCF of Fractions is 54/254890.Finally, GCF of Fractions for 594/710, 918/359 is 54/254890.