Greatest Common Factor of 6477/32, 8601/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6477/32, 8601/489

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 6477/32,8601/489

Given fractions are 6477/32,8601/489

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 6477,8601

Greatest Common Factor of Numerators i.e. GCF of 6477,8601 is 3 .

LCM of Denominators means LCM of 32,489 as per the given fractions.

LCM of 32,489 is 15648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6477,8601

GCF of Fractions 6477/32,8601/489 is 3/15648

3 6477, 8601
2159, 2867

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

Greatest Common Factor of 6477,8601 By Matching Biggest Common Factor Method

Greatest Common Factor of 6477,8601 By Matching Biggest Common Factor Method

Factors of 6477

List of positive integer factors of 6477 that divides 6477 without a remainder.

1,3,17,51,127,381,2159,6477

Factors of 8601

List of positive integer factors of 8601 that divides 8601 without a remainder.

1,3,47,61,141,183,2867,8601

Greatest Common Factor

We found the factors 6477,8601 . The biggest common factor number is the GCF number.
So the greatest common factor 6477,8601 is 3.

Lets's calculate LCM of 32,489

Given numbers has no common factors except 1. So, there LCM is their product i.e 15648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15648

Therefore, the GCF of Fractions 6477/32,8601/489 is 3/15648

Least Common Multiple of 32,489 with GCF Formula

Least Common Multiple of 32,489 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 32,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,489) = 1

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

GCF(32,489) x common factors =1 x 1 = 1

LCM(32,489) = ( 32 × 489 ) / 1

LCM(32,489) = 15648 / 1

LCM(32,489) = 15648


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 6477/32, 8601/489

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 6477/32, 8601/489?

Answer: GCF of Numerators as per given numbers 6477/32, 8601/489 is

GCF of Numerators i.e. for 6477,8601 is 3

LCM of denominators i.e. for 32,489 is 15648.

Thus, GCF of Fractions is 3/15648.Finally, GCF of Fractions for 6477/32, 8601/489 is 3/15648.