Greatest Common Factor of 6363/454, 5283/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6363/454, 5283/944

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 6363/454,5283/944

Given fractions are 6363/454,5283/944

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 6363,5283

Greatest Common Factor of Numerators i.e. GCF of 6363,5283 is 9 .

LCM of Denominators means LCM of 454,944 as per the given fractions.

LCM of 454,944 is 214288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6363,5283

GCF of Fractions 6363/454,5283/944 is 9/214288

3 6363, 5283
3 2121, 1761
707, 587

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 6363,5283 By Matching Biggest Common Factor Method

Greatest Common Factor of 6363,5283 By Matching Biggest Common Factor Method

Factors of 6363

List of positive integer factors of 6363 that divides 6363 without a remainder.

1,3,7,9,21,63,101,303,707,909,2121,6363

Factors of 5283

List of positive integer factors of 5283 that divides 5283 without a remainder.

1,3,9,587,1761,5283

Greatest Common Factor

We found the factors 6363,5283 . The biggest common factor number is the GCF number.
So the greatest common factor 6363,5283 is 9.

Lets's calculate LCM of 454,944

2 454, 944
227, 472

∴ So the LCM of the given numbers is 2 x 227 x 472 = 214288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/214288

Therefore, the GCF of Fractions 6363/454,5283/944 is 9/214288

Least Common Multiple of 454,944 with GCF Formula

Least Common Multiple of 454,944 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 454,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,944) = 2

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

GCF(454,944) x common factors =2 x 1 = 2

LCM(454,944) = ( 454 × 944 ) / 2

LCM(454,944) = 428576 / 2

LCM(454,944) = 214288


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 6363/454, 5283/944

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 6363/454, 5283/944?

Answer: GCF of Numerators as per given numbers 6363/454, 5283/944 is

GCF of Numerators i.e. for 6363,5283 is 9

LCM of denominators i.e. for 454,944 is 214288.

Thus, GCF of Fractions is 9/214288.Finally, GCF of Fractions for 6363/454, 5283/944 is 9/214288.