Greatest Common Factor of 423/917, 390/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 423/917, 390/597

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 423/917,390/597

Given fractions are 423/917,390/597

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 423,390

Greatest Common Factor of Numerators i.e. GCF of 423,390 is 3 .

LCM of Denominators means LCM of 917,597 as per the given fractions.

LCM of 917,597 is 547449 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 423,390

GCF of Fractions 423/917,390/597 is 3/547449

3 423, 390
141, 130

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

Greatest Common Factor of 423,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,390 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 423,390 . The biggest common factor number is the GCF number.
So the greatest common factor 423,390 is 3.

Lets's calculate LCM of 917,597

Given numbers has no common factors except 1. So, there LCM is their product i.e 547449

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/547449

Therefore, the GCF of Fractions 423/917,390/597 is 3/547449

Least Common Multiple of 917,597 with GCF Formula

Least Common Multiple of 917,597 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 917,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,597) = 1

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

GCF(917,597) x common factors =1 x 1 = 1

LCM(917,597) = ( 917 × 597 ) / 1

LCM(917,597) = 547449 / 1

LCM(917,597) = 547449


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 423/917, 390/597

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 423/917, 390/597?

Answer: GCF of Numerators as per given numbers 423/917, 390/597 is

GCF of Numerators i.e. for 423,390 is 3

LCM of denominators i.e. for 917,597 is 547449.

Thus, GCF of Fractions is 3/547449.Finally, GCF of Fractions for 423/917, 390/597 is 3/547449.