Greatest Common Factor of 729/296, 8419/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 729/296, 8419/664

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 729/296,8419/664

Given fractions are 729/296,8419/664

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 729,8419

Greatest Common Factor of Numerators i.e. GCF of 729,8419 is 1 .

LCM of Denominators means LCM of 296,664 as per the given fractions.

LCM of 296,664 is 24568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 729,8419

GCF of Fractions 729/296,8419/664 is 1/24568

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

Greatest Common Factor of 729,8419 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,8419 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 8419

List of positive integer factors of 8419 that divides 8419 without a remainder.

1,8419

Greatest Common Factor

We found the factors 729,8419 . The biggest common factor number is the GCF number.
So the greatest common factor 729,8419 is 1.

Lets's calculate LCM of 296,664

2 296, 664
2 148, 332
2 74, 166
37, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 83 = 24568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24568

Therefore, the GCF of Fractions 729/296,8419/664 is 1/24568

Least Common Multiple of 296,664 with GCF Formula

Least Common Multiple of 296,664 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 296,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,664) = 8

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

GCF(296,664) x common factors =8 x 1 = 8

LCM(296,664) = ( 296 × 664 ) / 8

LCM(296,664) = 196544 / 8

LCM(296,664) = 24568


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 729/296, 8419/664

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 729/296, 8419/664?

Answer: GCF of Numerators as per given numbers 729/296, 8419/664 is

GCF of Numerators i.e. for 729,8419 is 1

LCM of denominators i.e. for 296,664 is 24568.

Thus, GCF of Fractions is 1/24568.Finally, GCF of Fractions for 729/296, 8419/664 is 1/24568.