Greatest Common Factor of 9470/523, 5597/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9470/523, 5597/753

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 9470/523,5597/753

Given fractions are 9470/523,5597/753

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 9470,5597

Greatest Common Factor of Numerators i.e. GCF of 9470,5597 is 1 .

LCM of Denominators means LCM of 523,753 as per the given fractions.

LCM of 523,753 is 393819 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9470,5597

GCF of Fractions 9470/523,5597/753 is 1/393819

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

Greatest Common Factor of 9470,5597 By Matching Biggest Common Factor Method

Greatest Common Factor of 9470,5597 By Matching Biggest Common Factor Method

Factors of 9470

List of positive integer factors of 9470 that divides 9470 without a remainder.

1,2,5,10,947,1894,4735,9470

Factors of 5597

List of positive integer factors of 5597 that divides 5597 without a remainder.

1,29,193,5597

Greatest Common Factor

We found the factors 9470,5597 . The biggest common factor number is the GCF number.
So the greatest common factor 9470,5597 is 1.

Lets's calculate LCM of 523,753

Given numbers has no common factors except 1. So, there LCM is their product i.e 393819

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393819

Therefore, the GCF of Fractions 9470/523,5597/753 is 1/393819

Least Common Multiple of 523,753 with GCF Formula

Least Common Multiple of 523,753 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 523,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,753) = 1

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

GCF(523,753) x common factors =1 x 1 = 1

LCM(523,753) = ( 523 × 753 ) / 1

LCM(523,753) = 393819 / 1

LCM(523,753) = 393819


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 9470/523, 5597/753

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 9470/523, 5597/753?

Answer: GCF of Numerators as per given numbers 9470/523, 5597/753 is

GCF of Numerators i.e. for 9470,5597 is 1

LCM of denominators i.e. for 523,753 is 393819.

Thus, GCF of Fractions is 1/393819.Finally, GCF of Fractions for 9470/523, 5597/753 is 1/393819.