Greatest Common Factor of 715/559, 438/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 715/559, 438/230

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 715/559,438/230

Given fractions are 715/559,438/230

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 715,438

Greatest Common Factor of Numerators i.e. GCF of 715,438 is 1 .

LCM of Denominators means LCM of 559,230 as per the given fractions.

LCM of 559,230 is 128570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 715,438

GCF of Fractions 715/559,438/230 is 1/128570

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

Greatest Common Factor of 715,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,438 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 715,438 . The biggest common factor number is the GCF number.
So the greatest common factor 715,438 is 1.

Lets's calculate LCM of 559,230

Given numbers has no common factors except 1. So, there LCM is their product i.e 128570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128570

Therefore, the GCF of Fractions 715/559,438/230 is 1/128570

Least Common Multiple of 559,230 with GCF Formula

Least Common Multiple of 559,230 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 559,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,230) = 1

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

GCF(559,230) x common factors =1 x 1 = 1

LCM(559,230) = ( 559 × 230 ) / 1

LCM(559,230) = 128570 / 1

LCM(559,230) = 128570


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 715/559, 438/230

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 715/559, 438/230?

Answer: GCF of Numerators as per given numbers 715/559, 438/230 is

GCF of Numerators i.e. for 715,438 is 1

LCM of denominators i.e. for 559,230 is 128570.

Thus, GCF of Fractions is 1/128570.Finally, GCF of Fractions for 715/559, 438/230 is 1/128570.