Greatest Common Factor of 73/605, 986/207, 476/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/605, 986/207, 476/649

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 73/605,986/207,476/649

Given fractions are 73/605,986/207,476/649

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 73,986,476

Greatest Common Factor of Numerators i.e. GCF of 73,986,476 is 1 .

LCM of Denominators means LCM of 605,207,649 as per the given fractions.

LCM of 605,207,649 is 7388865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,986,476

GCF of Fractions 73/605,986/207,476/649 is 1/7388865

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

Greatest Common Factor of 73,986,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,986,476 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 73,986,476 . The biggest common factor number is the GCF number.
So the greatest common factor 73,986,476 is 1.

Lets's calculate LCM of 605,207,649

11 605, 207, 649
55, 207, 59

∴ So the LCM of the given numbers is 11 x 55 x 207 x 59 = 7388865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7388865

Therefore, the GCF of Fractions 73/605,986/207,476/649 is 1/7388865

Least Common Multiple of 605,207,649 with GCF Formula

Least Common Multiple of 605,207,649 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 605,207,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,207,649) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(605,207,649) x common factors =1 x 11 = 11

LCM(605,207,649) = ( 605 × 207 × 649 ) / 11

LCM(605,207,649) = 81277515 / 11

LCM(605,207,649) = 7388865


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 73/605, 986/207, 476/649

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 73/605, 986/207, 476/649?

Answer: GCF of Numerators as per given numbers 73/605, 986/207, 476/649 is

GCF of Numerators i.e. for 73,986,476 is 1

LCM of denominators i.e. for 605,207,649 is 7388865.

Thus, GCF of Fractions is 1/7388865.Finally, GCF of Fractions for 73/605, 986/207, 476/649 is 1/7388865.