Greatest Common Factor of 4929/173, 6489/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4929/173, 6489/969

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 4929/173,6489/969

Given fractions are 4929/173,6489/969

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 4929,6489

Greatest Common Factor of Numerators i.e. GCF of 4929,6489 is 3 .

LCM of Denominators means LCM of 173,969 as per the given fractions.

LCM of 173,969 is 167637 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4929,6489

GCF of Fractions 4929/173,6489/969 is 3/167637

3 4929, 6489
1643, 2163

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

Greatest Common Factor of 4929,6489 By Matching Biggest Common Factor Method

Greatest Common Factor of 4929,6489 By Matching Biggest Common Factor Method

Factors of 4929

List of positive integer factors of 4929 that divides 4929 without a remainder.

1,3,31,53,93,159,1643,4929

Factors of 6489

List of positive integer factors of 6489 that divides 6489 without a remainder.

1,3,7,9,21,63,103,309,721,927,2163,6489

Greatest Common Factor

We found the factors 4929,6489 . The biggest common factor number is the GCF number.
So the greatest common factor 4929,6489 is 3.

Lets's calculate LCM of 173,969

Given numbers has no common factors except 1. So, there LCM is their product i.e 167637

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/167637

Therefore, the GCF of Fractions 4929/173,6489/969 is 3/167637

Least Common Multiple of 173,969 with GCF Formula

Least Common Multiple of 173,969 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 173,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,969) = 1

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

GCF(173,969) x common factors =1 x 1 = 1

LCM(173,969) = ( 173 × 969 ) / 1

LCM(173,969) = 167637 / 1

LCM(173,969) = 167637


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 4929/173, 6489/969

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 4929/173, 6489/969?

Answer: GCF of Numerators as per given numbers 4929/173, 6489/969 is

GCF of Numerators i.e. for 4929,6489 is 3

LCM of denominators i.e. for 173,969 is 167637.

Thus, GCF of Fractions is 3/167637.Finally, GCF of Fractions for 4929/173, 6489/969 is 3/167637.