Greatest Common Factor of 618/86, 790/4096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/86, 790/4096

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 618/86,790/4096

Given fractions are 618/86,790/4096

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 618,790

Greatest Common Factor of Numerators i.e. GCF of 618,790 is 2 .

LCM of Denominators means LCM of 86,4096 as per the given fractions.

LCM of 86,4096 is 176128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,790

GCF of Fractions 618/86,790/4096 is 2/176128

2 618, 790
309, 395

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

Greatest Common Factor of 618,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,790 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 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 618,790 . The biggest common factor number is the GCF number.
So the greatest common factor 618,790 is 2.

Lets's calculate LCM of 86,4096

2 86, 4096
43, 2048

∴ So the LCM of the given numbers is 2 x 43 x 2048 = 176128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176128

Therefore, the GCF of Fractions 618/86,790/4096 is 2/176128

Least Common Multiple of 86,4096 with GCF Formula

Least Common Multiple of 86,4096 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 86,4096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,4096) = 2

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

GCF(86,4096) x common factors =2 x 1 = 2

LCM(86,4096) = ( 86 × 4096 ) / 2

LCM(86,4096) = 352256 / 2

LCM(86,4096) = 176128


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 618/86, 790/4096

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 618/86, 790/4096?

Answer: GCF of Numerators as per given numbers 618/86, 790/4096 is

GCF of Numerators i.e. for 618,790 is 2

LCM of denominators i.e. for 86,4096 is 176128.

Thus, GCF of Fractions is 2/176128.Finally, GCF of Fractions for 618/86, 790/4096 is 2/176128.