Greatest Common Factor of 9583/42, 4572/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9583/42, 4572/825

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 9583/42,4572/825

Given fractions are 9583/42,4572/825

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 9583,4572

Greatest Common Factor of Numerators i.e. GCF of 9583,4572 is 1 .

LCM of Denominators means LCM of 42,825 as per the given fractions.

LCM of 42,825 is 11550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9583,4572

GCF of Fractions 9583/42,4572/825 is 1/11550

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

Greatest Common Factor of 9583,4572 By Matching Biggest Common Factor Method

Greatest Common Factor of 9583,4572 By Matching Biggest Common Factor Method

Factors of 9583

List of positive integer factors of 9583 that divides 9583 without a remainder.

1,7,37,259,1369,9583

Factors of 4572

List of positive integer factors of 4572 that divides 4572 without a remainder.

1,2,3,4,6,9,12,18,36,127,254,381,508,762,1143,1524,2286,4572

Greatest Common Factor

We found the factors 9583,4572 . The biggest common factor number is the GCF number.
So the greatest common factor 9583,4572 is 1.

Lets's calculate LCM of 42,825

3 42, 825
14, 275

∴ So the LCM of the given numbers is 3 x 14 x 275 = 11550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11550

Therefore, the GCF of Fractions 9583/42,4572/825 is 1/11550

Least Common Multiple of 42,825 with GCF Formula

Least Common Multiple of 42,825 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 42,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,825) = 3

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

GCF(42,825) x common factors =3 x 1 = 3

LCM(42,825) = ( 42 × 825 ) / 3

LCM(42,825) = 34650 / 3

LCM(42,825) = 11550


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 9583/42, 4572/825

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 9583/42, 4572/825?

Answer: GCF of Numerators as per given numbers 9583/42, 4572/825 is

GCF of Numerators i.e. for 9583,4572 is 1

LCM of denominators i.e. for 42,825 is 11550.

Thus, GCF of Fractions is 1/11550.Finally, GCF of Fractions for 9583/42, 4572/825 is 1/11550.