Greatest Common Factor of 1442/311, 8645/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1442/311, 8645/729

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 1442/311,8645/729

Given fractions are 1442/311,8645/729

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 1442,8645

Greatest Common Factor of Numerators i.e. GCF of 1442,8645 is 7 .

LCM of Denominators means LCM of 311,729 as per the given fractions.

LCM of 311,729 is 226719 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1442,8645

GCF of Fractions 1442/311,8645/729 is 7/226719

7 1442, 8645
206, 1235

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1442,8645 By Matching Biggest Common Factor Method

Greatest Common Factor of 1442,8645 By Matching Biggest Common Factor Method

Factors of 1442

List of positive integer factors of 1442 that divides 1442 without a remainder.

1,2,7,14,103,206,721,1442

Factors of 8645

List of positive integer factors of 8645 that divides 8645 without a remainder.

1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645

Greatest Common Factor

We found the factors 1442,8645 . The biggest common factor number is the GCF number.
So the greatest common factor 1442,8645 is 7.

Lets's calculate LCM of 311,729

Given numbers has no common factors except 1. So, there LCM is their product i.e 226719

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/226719

Therefore, the GCF of Fractions 1442/311,8645/729 is 7/226719

Least Common Multiple of 311,729 with GCF Formula

Least Common Multiple of 311,729 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 311,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,729) = 1

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

GCF(311,729) x common factors =1 x 1 = 1

LCM(311,729) = ( 311 × 729 ) / 1

LCM(311,729) = 226719 / 1

LCM(311,729) = 226719


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 1442/311, 8645/729

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 1442/311, 8645/729?

Answer: GCF of Numerators as per given numbers 1442/311, 8645/729 is

GCF of Numerators i.e. for 1442,8645 is 7

LCM of denominators i.e. for 311,729 is 226719.

Thus, GCF of Fractions is 7/226719.Finally, GCF of Fractions for 1442/311, 8645/729 is 7/226719.