Greatest Common Factor of 618/37, 864/61, 807/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/37, 864/61, 807/397

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 618/37,864/61,807/397

Given fractions are 618/37,864/61,807/397

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 618,864,807

Greatest Common Factor of Numerators i.e. GCF of 618,864,807 is 3 .

LCM of Denominators means LCM of 37,61,397 as per the given fractions.

LCM of 37,61,397 is 896029 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,864,807

GCF of Fractions 618/37,864/61,807/397 is 3/896029

3 618, 864, 807
206, 288, 269

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 618,864,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,864,807 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 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 618,864,807 . The biggest common factor number is the GCF number.
So the greatest common factor 618,864,807 is 3.

Lets's calculate LCM of 37,61,397

Given numbers has no common factors except 1. So, there LCM is their product i.e 896029

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/896029

Therefore, the GCF of Fractions 618/37,864/61,807/397 is 3/896029

Least Common Multiple of 37,61,397 with GCF Formula

Least Common Multiple of 37,61,397 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 37,61,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,61,397) = 1

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

GCF(37,61,397) x common factors =1 x 1 = 1

LCM(37,61,397) = ( 37 × 61 × 397 ) / 1

LCM(37,61,397) = 896029 / 1

LCM(37,61,397) = 896029


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 618/37, 864/61, 807/397

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 618/37, 864/61, 807/397?

Answer: GCF of Numerators as per given numbers 618/37, 864/61, 807/397 is

GCF of Numerators i.e. for 618,864,807 is 3

LCM of denominators i.e. for 37,61,397 is 896029.

Thus, GCF of Fractions is 3/896029.Finally, GCF of Fractions for 618/37, 864/61, 807/397 is 3/896029.