Greatest Common Factor of 977/849, 405/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 977/849, 405/723

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 977/849,405/723

Given fractions are 977/849,405/723

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 977,405

Greatest Common Factor of Numerators i.e. GCF of 977,405 is 1 .

LCM of Denominators means LCM of 849,723 as per the given fractions.

LCM of 849,723 is 204609 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 977,405

GCF of Fractions 977/849,405/723 is 1/204609

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

Greatest Common Factor of 977,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,405 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 977,405 . The biggest common factor number is the GCF number.
So the greatest common factor 977,405 is 1.

Lets's calculate LCM of 849,723

3 849, 723
283, 241

∴ So the LCM of the given numbers is 3 x 283 x 241 = 204609

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204609

Therefore, the GCF of Fractions 977/849,405/723 is 1/204609

Least Common Multiple of 849,723 with GCF Formula

Least Common Multiple of 849,723 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 849,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,723) = 3

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

GCF(849,723) x common factors =3 x 1 = 3

LCM(849,723) = ( 849 × 723 ) / 3

LCM(849,723) = 613827 / 3

LCM(849,723) = 204609


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 977/849, 405/723

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 977/849, 405/723?

Answer: GCF of Numerators as per given numbers 977/849, 405/723 is

GCF of Numerators i.e. for 977,405 is 1

LCM of denominators i.e. for 849,723 is 204609.

Thus, GCF of Fractions is 1/204609.Finally, GCF of Fractions for 977/849, 405/723 is 1/204609.