Greatest Common Factor of 18/916, 596/116, 605/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/916, 596/116, 605/696

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 18/916,596/116,605/696

Given fractions are 18/916,596/116,605/696

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 18,596,605

Greatest Common Factor of Numerators i.e. GCF of 18,596,605 is 1 .

LCM of Denominators means LCM of 916,116,696 as per the given fractions.

LCM of 916,116,696 is 159384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,596,605

GCF of Fractions 18/916,596/116,605/696 is 1/159384

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

Greatest Common Factor of 18,596,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,596,605 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 596

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

1,2,4,149,298,596

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 18,596,605 . The biggest common factor number is the GCF number.
So the greatest common factor 18,596,605 is 1.

Lets's calculate LCM of 916,116,696

2 916, 116, 696
2 458, 58, 348
29 229, 29, 174
229, 1, 6

∴ So the LCM of the given numbers is 2 x 2 x 29 x 229 x 1 x 6 = 159384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159384

Therefore, the GCF of Fractions 18/916,596/116,605/696 is 1/159384

Least Common Multiple of 916,116,696 with GCF Formula

Least Common Multiple of 916,116,696 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 916,116,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,116,696) = 4

common factors(in case of two or more numbers have common factors) = 116

GCF(916,116,696) x common factors =4 x 116 = 464

LCM(916,116,696) = ( 916 × 116 × 696 ) / 464

LCM(916,116,696) = 73954176 / 464

LCM(916,116,696) = 159384


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 18/916, 596/116, 605/696

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 18/916, 596/116, 605/696?

Answer: GCF of Numerators as per given numbers 18/916, 596/116, 605/696 is

GCF of Numerators i.e. for 18,596,605 is 1

LCM of denominators i.e. for 916,116,696 is 159384.

Thus, GCF of Fractions is 1/159384.Finally, GCF of Fractions for 18/916, 596/116, 605/696 is 1/159384.