Greatest Common Factor of 6459/329, 5460/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6459/329, 5460/713

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 6459/329,5460/713

Given fractions are 6459/329,5460/713

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 6459,5460

Greatest Common Factor of Numerators i.e. GCF of 6459,5460 is 3 .

LCM of Denominators means LCM of 329,713 as per the given fractions.

LCM of 329,713 is 234577 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6459,5460

GCF of Fractions 6459/329,5460/713 is 3/234577

3 6459, 5460
2153, 1820

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

Greatest Common Factor of 6459,5460 By Matching Biggest Common Factor Method

Greatest Common Factor of 6459,5460 By Matching Biggest Common Factor Method

Factors of 6459

List of positive integer factors of 6459 that divides 6459 without a remainder.

1,3,2153,6459

Factors of 5460

List of positive integer factors of 5460 that divides 5460 without a remainder.

1,2,3,4,5,6,7,10,12,13,14,15,20,21,26,28,30,35,39,42,52,60,65,70,78,84,91,105,130,140,156,182,195,210,260,273,364,390,420,455,546,780,910,1092,1365,1820,2730,5460

Greatest Common Factor

We found the factors 6459,5460 . The biggest common factor number is the GCF number.
So the greatest common factor 6459,5460 is 3.

Lets's calculate LCM of 329,713

Given numbers has no common factors except 1. So, there LCM is their product i.e 234577

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/234577

Therefore, the GCF of Fractions 6459/329,5460/713 is 3/234577

Least Common Multiple of 329,713 with GCF Formula

Least Common Multiple of 329,713 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 329,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,713) = 1

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

GCF(329,713) x common factors =1 x 1 = 1

LCM(329,713) = ( 329 × 713 ) / 1

LCM(329,713) = 234577 / 1

LCM(329,713) = 234577


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 6459/329, 5460/713

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 6459/329, 5460/713?

Answer: GCF of Numerators as per given numbers 6459/329, 5460/713 is

GCF of Numerators i.e. for 6459,5460 is 3

LCM of denominators i.e. for 329,713 is 234577.

Thus, GCF of Fractions is 3/234577.Finally, GCF of Fractions for 6459/329, 5460/713 is 3/234577.