Greatest Common Factor of 9573/399, 5787/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9573/399, 5787/146

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 9573/399,5787/146

Given fractions are 9573/399,5787/146

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 9573,5787

Greatest Common Factor of Numerators i.e. GCF of 9573,5787 is 3 .

LCM of Denominators means LCM of 399,146 as per the given fractions.

LCM of 399,146 is 58254 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9573,5787

GCF of Fractions 9573/399,5787/146 is 3/58254

3 9573, 5787
3191, 1929

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

Greatest Common Factor of 9573,5787 By Matching Biggest Common Factor Method

Greatest Common Factor of 9573,5787 By Matching Biggest Common Factor Method

Factors of 9573

List of positive integer factors of 9573 that divides 9573 without a remainder.

1,3,3191,9573

Factors of 5787

List of positive integer factors of 5787 that divides 5787 without a remainder.

1,3,9,643,1929,5787

Greatest Common Factor

We found the factors 9573,5787 . The biggest common factor number is the GCF number.
So the greatest common factor 9573,5787 is 3.

Lets's calculate LCM of 399,146

Given numbers has no common factors except 1. So, there LCM is their product i.e 58254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/58254

Therefore, the GCF of Fractions 9573/399,5787/146 is 3/58254

Least Common Multiple of 399,146 with GCF Formula

Least Common Multiple of 399,146 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 399,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,146) = 1

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

GCF(399,146) x common factors =1 x 1 = 1

LCM(399,146) = ( 399 × 146 ) / 1

LCM(399,146) = 58254 / 1

LCM(399,146) = 58254


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 9573/399, 5787/146

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 9573/399, 5787/146?

Answer: GCF of Numerators as per given numbers 9573/399, 5787/146 is

GCF of Numerators i.e. for 9573,5787 is 3

LCM of denominators i.e. for 399,146 is 58254.

Thus, GCF of Fractions is 3/58254.Finally, GCF of Fractions for 9573/399, 5787/146 is 3/58254.