Greatest Common Factor of 6363/90, 1704/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6363/90, 1704/955

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 6363/90,1704/955

Given fractions are 6363/90,1704/955

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 6363,1704

Greatest Common Factor of Numerators i.e. GCF of 6363,1704 is 3 .

LCM of Denominators means LCM of 90,955 as per the given fractions.

LCM of 90,955 is 17190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6363,1704

GCF of Fractions 6363/90,1704/955 is 3/17190

3 6363, 1704
2121, 568

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

Greatest Common Factor of 6363,1704 By Matching Biggest Common Factor Method

Greatest Common Factor of 6363,1704 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 1704

List of positive integer factors of 1704 that divides 1704 without a remainder.

1,2,3,4,6,8,12,24,71,142,213,284,426,568,852,1704

Greatest Common Factor

We found the factors 6363,1704 . The biggest common factor number is the GCF number.
So the greatest common factor 6363,1704 is 3.

Lets's calculate LCM of 90,955

5 90, 955
18, 191

∴ So the LCM of the given numbers is 5 x 18 x 191 = 17190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17190

Therefore, the GCF of Fractions 6363/90,1704/955 is 3/17190

Least Common Multiple of 90,955 with GCF Formula

Least Common Multiple of 90,955 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 90,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,955) = 5

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

GCF(90,955) x common factors =5 x 1 = 5

LCM(90,955) = ( 90 × 955 ) / 5

LCM(90,955) = 85950 / 5

LCM(90,955) = 17190


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 6363/90, 1704/955

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 6363/90, 1704/955?

Answer: GCF of Numerators as per given numbers 6363/90, 1704/955 is

GCF of Numerators i.e. for 6363,1704 is 3

LCM of denominators i.e. for 90,955 is 17190.

Thus, GCF of Fractions is 3/17190.Finally, GCF of Fractions for 6363/90, 1704/955 is 3/17190.