Greatest Common Factor of 596/75, 385/92, 318/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 596/75, 385/92, 318/16

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 596/75,385/92,318/16

Given fractions are 596/75,385/92,318/16

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 596,385,318

Greatest Common Factor of Numerators i.e. GCF of 596,385,318 is 1 .

LCM of Denominators means LCM of 75,92,16 as per the given fractions.

LCM of 75,92,16 is 27600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 596,385,318

GCF of Fractions 596/75,385/92,318/16 is 1/27600

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

Greatest Common Factor of 596,385,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,385,318 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 596,385,318 . The biggest common factor number is the GCF number.
So the greatest common factor 596,385,318 is 1.

Lets's calculate LCM of 75,92,16

2 75, 92, 16
2 75, 46, 8
75, 23, 4

∴ So the LCM of the given numbers is 2 x 2 x 75 x 23 x 4 = 27600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27600

Therefore, the GCF of Fractions 596/75,385/92,318/16 is 1/27600

Least Common Multiple of 75,92,16 with GCF Formula

Least Common Multiple of 75,92,16 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 75,92,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,92,16) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(75,92,16) x common factors =1 x 4 = 4

LCM(75,92,16) = ( 75 × 92 × 16 ) / 4

LCM(75,92,16) = 110400 / 4

LCM(75,92,16) = 27600


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 596/75, 385/92, 318/16

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 596/75, 385/92, 318/16?

Answer: GCF of Numerators as per given numbers 596/75, 385/92, 318/16 is

GCF of Numerators i.e. for 596,385,318 is 1

LCM of denominators i.e. for 75,92,16 is 27600.

Thus, GCF of Fractions is 1/27600.Finally, GCF of Fractions for 596/75, 385/92, 318/16 is 1/27600.