Greatest Common Factor of 608/675, 438/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 608/675, 438/915

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 608/675,438/915

Given fractions are 608/675,438/915

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 608,438

Greatest Common Factor of Numerators i.e. GCF of 608,438 is 2 .

LCM of Denominators means LCM of 675,915 as per the given fractions.

LCM of 675,915 is 41175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 608,438

GCF of Fractions 608/675,438/915 is 2/41175

2 608, 438
304, 219

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 608,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,438 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

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 608,438 . The biggest common factor number is the GCF number.
So the greatest common factor 608,438 is 2.

Lets's calculate LCM of 675,915

3 675, 915
5 225, 305
45, 61

∴ So the LCM of the given numbers is 3 x 5 x 45 x 61 = 41175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41175

Therefore, the GCF of Fractions 608/675,438/915 is 2/41175

Least Common Multiple of 675,915 with GCF Formula

Least Common Multiple of 675,915 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 675,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,915) = 15

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

GCF(675,915) x common factors =15 x 1 = 15

LCM(675,915) = ( 675 × 915 ) / 15

LCM(675,915) = 617625 / 15

LCM(675,915) = 41175


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 608/675, 438/915

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 608/675, 438/915?

Answer: GCF of Numerators as per given numbers 608/675, 438/915 is

GCF of Numerators i.e. for 608,438 is 2

LCM of denominators i.e. for 675,915 is 41175.

Thus, GCF of Fractions is 2/41175.Finally, GCF of Fractions for 608/675, 438/915 is 2/41175.