Greatest Common Factor of 6483/224, 4077/5447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6483/224, 4077/5447

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 6483/224,4077/5447

Given fractions are 6483/224,4077/5447

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 6483,4077

Greatest Common Factor of Numerators i.e. GCF of 6483,4077 is 3 .

LCM of Denominators means LCM of 224,5447 as per the given fractions.

LCM of 224,5447 is 1220128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6483,4077

GCF of Fractions 6483/224,4077/5447 is 3/1220128

3 6483, 4077
2161, 1359

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

Greatest Common Factor of 6483,4077 By Matching Biggest Common Factor Method

Greatest Common Factor of 6483,4077 By Matching Biggest Common Factor Method

Factors of 6483

List of positive integer factors of 6483 that divides 6483 without a remainder.

1,3,2161,6483

Factors of 4077

List of positive integer factors of 4077 that divides 4077 without a remainder.

1,3,9,27,151,453,1359,4077

Greatest Common Factor

We found the factors 6483,4077 . The biggest common factor number is the GCF number.
So the greatest common factor 6483,4077 is 3.

Lets's calculate LCM of 224,5447

Given numbers has no common factors except 1. So, there LCM is their product i.e 1220128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1220128

Therefore, the GCF of Fractions 6483/224,4077/5447 is 3/1220128

Least Common Multiple of 224,5447 with GCF Formula

Least Common Multiple of 224,5447 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 224,5447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,5447) = 1

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

GCF(224,5447) x common factors =1 x 1 = 1

LCM(224,5447) = ( 224 × 5447 ) / 1

LCM(224,5447) = 1220128 / 1

LCM(224,5447) = 1220128


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 6483/224, 4077/5447

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 6483/224, 4077/5447?

Answer: GCF of Numerators as per given numbers 6483/224, 4077/5447 is

GCF of Numerators i.e. for 6483,4077 is 3

LCM of denominators i.e. for 224,5447 is 1220128.

Thus, GCF of Fractions is 3/1220128.Finally, GCF of Fractions for 6483/224, 4077/5447 is 3/1220128.