Greatest Common Factor of 9400/504, 5383/7869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9400/504, 5383/7869

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 9400/504,5383/7869

Given fractions are 9400/504,5383/7869

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 9400,5383

Greatest Common Factor of Numerators i.e. GCF of 9400,5383 is 1 .

LCM of Denominators means LCM of 504,7869 as per the given fractions.

LCM of 504,7869 is 1321992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9400,5383

GCF of Fractions 9400/504,5383/7869 is 1/1321992

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

Greatest Common Factor of 9400,5383 By Matching Biggest Common Factor Method

Greatest Common Factor of 9400,5383 By Matching Biggest Common Factor Method

Factors of 9400

List of positive integer factors of 9400 that divides 9400 without a remainder.

1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400

Factors of 5383

List of positive integer factors of 5383 that divides 5383 without a remainder.

1,7,769,5383

Greatest Common Factor

We found the factors 9400,5383 . The biggest common factor number is the GCF number.
So the greatest common factor 9400,5383 is 1.

Lets's calculate LCM of 504,7869

3 504, 7869
168, 2623

∴ So the LCM of the given numbers is 3 x 168 x 2623 = 1321992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1321992

Therefore, the GCF of Fractions 9400/504,5383/7869 is 1/1321992

Least Common Multiple of 504,7869 with GCF Formula

Least Common Multiple of 504,7869 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 504,7869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,7869) = 3

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

GCF(504,7869) x common factors =3 x 1 = 3

LCM(504,7869) = ( 504 × 7869 ) / 3

LCM(504,7869) = 3965976 / 3

LCM(504,7869) = 1321992


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 9400/504, 5383/7869

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 9400/504, 5383/7869?

Answer: GCF of Numerators as per given numbers 9400/504, 5383/7869 is

GCF of Numerators i.e. for 9400,5383 is 1

LCM of denominators i.e. for 504,7869 is 1321992.

Thus, GCF of Fractions is 1/1321992.Finally, GCF of Fractions for 9400/504, 5383/7869 is 1/1321992.