Greatest Common Factor of 618/95, 596/29, 151/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/95, 596/29, 151/16

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 618/95,596/29,151/16

Given fractions are 618/95,596/29,151/16

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 618,596,151

Greatest Common Factor of Numerators i.e. GCF of 618,596,151 is 1 .

LCM of Denominators means LCM of 95,29,16 as per the given fractions.

LCM of 95,29,16 is 44080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,596,151

GCF of Fractions 618/95,596/29,151/16 is 1/44080

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

Greatest Common Factor of 618,596,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,596,151 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 596

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

1,2,4,149,298,596

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 618,596,151 . The biggest common factor number is the GCF number.
So the greatest common factor 618,596,151 is 1.

Lets's calculate LCM of 95,29,16

Given numbers has no common factors except 1. So, there LCM is their product i.e 44080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44080

Therefore, the GCF of Fractions 618/95,596/29,151/16 is 1/44080

Least Common Multiple of 95,29,16 with GCF Formula

Least Common Multiple of 95,29,16 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 95,29,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,29,16) = 1

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

GCF(95,29,16) x common factors =1 x 1 = 1

LCM(95,29,16) = ( 95 × 29 × 16 ) / 1

LCM(95,29,16) = 44080 / 1

LCM(95,29,16) = 44080


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 618/95, 596/29, 151/16

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 618/95, 596/29, 151/16?

Answer: GCF of Numerators as per given numbers 618/95, 596/29, 151/16 is

GCF of Numerators i.e. for 618,596,151 is 1

LCM of denominators i.e. for 95,29,16 is 44080.

Thus, GCF of Fractions is 1/44080.Finally, GCF of Fractions for 618/95, 596/29, 151/16 is 1/44080.