Greatest Common Factor of 1569/81, 9390/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1569/81, 9390/213

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 1569/81,9390/213

Given fractions are 1569/81,9390/213

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 1569,9390

Greatest Common Factor of Numerators i.e. GCF of 1569,9390 is 3 .

LCM of Denominators means LCM of 81,213 as per the given fractions.

LCM of 81,213 is 5751 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1569,9390

GCF of Fractions 1569/81,9390/213 is 3/5751

3 1569, 9390
523, 3130

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

Greatest Common Factor of 1569,9390 By Matching Biggest Common Factor Method

Greatest Common Factor of 1569,9390 By Matching Biggest Common Factor Method

Factors of 1569

List of positive integer factors of 1569 that divides 1569 without a remainder.

1,3,523,1569

Factors of 9390

List of positive integer factors of 9390 that divides 9390 without a remainder.

1,2,3,5,6,10,15,30,313,626,939,1565,1878,3130,4695,9390

Greatest Common Factor

We found the factors 1569,9390 . The biggest common factor number is the GCF number.
So the greatest common factor 1569,9390 is 3.

Lets's calculate LCM of 81,213

3 81, 213
27, 71

∴ So the LCM of the given numbers is 3 x 27 x 71 = 5751

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5751

Therefore, the GCF of Fractions 1569/81,9390/213 is 3/5751

Least Common Multiple of 81,213 with GCF Formula

Least Common Multiple of 81,213 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 81,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,213) = 3

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

GCF(81,213) x common factors =3 x 1 = 3

LCM(81,213) = ( 81 × 213 ) / 3

LCM(81,213) = 17253 / 3

LCM(81,213) = 5751


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 1569/81, 9390/213

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 1569/81, 9390/213?

Answer: GCF of Numerators as per given numbers 1569/81, 9390/213 is

GCF of Numerators i.e. for 1569,9390 is 3

LCM of denominators i.e. for 81,213 is 5751.

Thus, GCF of Fractions is 3/5751.Finally, GCF of Fractions for 1569/81, 9390/213 is 3/5751.