Greatest Common Factor of 6904/53, 9398/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6904/53, 9398/584

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 6904/53,9398/584

Given fractions are 6904/53,9398/584

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 6904,9398

Greatest Common Factor of Numerators i.e. GCF of 6904,9398 is 2 .

LCM of Denominators means LCM of 53,584 as per the given fractions.

LCM of 53,584 is 30952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6904,9398

GCF of Fractions 6904/53,9398/584 is 2/30952

2 6904, 9398
3452, 4699

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6904,9398 By Matching Biggest Common Factor Method

Greatest Common Factor of 6904,9398 By Matching Biggest Common Factor Method

Factors of 6904

List of positive integer factors of 6904 that divides 6904 without a remainder.

1,2,4,8,863,1726,3452,6904

Factors of 9398

List of positive integer factors of 9398 that divides 9398 without a remainder.

1,2,37,74,127,254,4699,9398

Greatest Common Factor

We found the factors 6904,9398 . The biggest common factor number is the GCF number.
So the greatest common factor 6904,9398 is 2.

Lets's calculate LCM of 53,584

Given numbers has no common factors except 1. So, there LCM is their product i.e 30952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30952

Therefore, the GCF of Fractions 6904/53,9398/584 is 2/30952

Least Common Multiple of 53,584 with GCF Formula

Least Common Multiple of 53,584 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 53,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,584) = 1

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

GCF(53,584) x common factors =1 x 1 = 1

LCM(53,584) = ( 53 × 584 ) / 1

LCM(53,584) = 30952 / 1

LCM(53,584) = 30952


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 6904/53, 9398/584

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 6904/53, 9398/584?

Answer: GCF of Numerators as per given numbers 6904/53, 9398/584 is

GCF of Numerators i.e. for 6904,9398 is 2

LCM of denominators i.e. for 53,584 is 30952.

Thus, GCF of Fractions is 2/30952.Finally, GCF of Fractions for 6904/53, 9398/584 is 2/30952.