Greatest Common Factor of 4551/482, 5723/6649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4551/482, 5723/6649

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 4551/482,5723/6649

Given fractions are 4551/482,5723/6649

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 4551,5723

Greatest Common Factor of Numerators i.e. GCF of 4551,5723 is 1 .

LCM of Denominators means LCM of 482,6649 as per the given fractions.

LCM of 482,6649 is 3204818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4551,5723

GCF of Fractions 4551/482,5723/6649 is 1/3204818

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4551,5723 By Matching Biggest Common Factor Method

Greatest Common Factor of 4551,5723 By Matching Biggest Common Factor Method

Factors of 4551

List of positive integer factors of 4551 that divides 4551 without a remainder.

1,3,37,41,111,123,1517,4551

Factors of 5723

List of positive integer factors of 5723 that divides 5723 without a remainder.

1,59,97,5723

Greatest Common Factor

We found the factors 4551,5723 . The biggest common factor number is the GCF number.
So the greatest common factor 4551,5723 is 1.

Lets's calculate LCM of 482,6649

Given numbers has no common factors except 1. So, there LCM is their product i.e 3204818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3204818

Therefore, the GCF of Fractions 4551/482,5723/6649 is 1/3204818

Least Common Multiple of 482,6649 with GCF Formula

Least Common Multiple of 482,6649 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 482,6649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,6649) = 1

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

GCF(482,6649) x common factors =1 x 1 = 1

LCM(482,6649) = ( 482 × 6649 ) / 1

LCM(482,6649) = 3204818 / 1

LCM(482,6649) = 3204818


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 4551/482, 5723/6649

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 4551/482, 5723/6649?

Answer: GCF of Numerators as per given numbers 4551/482, 5723/6649 is

GCF of Numerators i.e. for 4551,5723 is 1

LCM of denominators i.e. for 482,6649 is 3204818.

Thus, GCF of Fractions is 1/3204818.Finally, GCF of Fractions for 4551/482, 5723/6649 is 1/3204818.