Greatest Common Factor of 9930/381, 3619/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9930/381, 3619/569

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 9930/381,3619/569

Given fractions are 9930/381,3619/569

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 9930,3619

Greatest Common Factor of Numerators i.e. GCF of 9930,3619 is 1 .

LCM of Denominators means LCM of 381,569 as per the given fractions.

LCM of 381,569 is 216789 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9930,3619

GCF of Fractions 9930/381,3619/569 is 1/216789

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

Greatest Common Factor of 9930,3619 By Matching Biggest Common Factor Method

Greatest Common Factor of 9930,3619 By Matching Biggest Common Factor Method

Factors of 9930

List of positive integer factors of 9930 that divides 9930 without a remainder.

1,2,3,5,6,10,15,30,331,662,993,1655,1986,3310,4965,9930

Factors of 3619

List of positive integer factors of 3619 that divides 3619 without a remainder.

1,7,11,47,77,329,517,3619

Greatest Common Factor

We found the factors 9930,3619 . The biggest common factor number is the GCF number.
So the greatest common factor 9930,3619 is 1.

Lets's calculate LCM of 381,569

Given numbers has no common factors except 1. So, there LCM is their product i.e 216789

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216789

Therefore, the GCF of Fractions 9930/381,3619/569 is 1/216789

Least Common Multiple of 381,569 with GCF Formula

Least Common Multiple of 381,569 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 381,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,569) = 1

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

GCF(381,569) x common factors =1 x 1 = 1

LCM(381,569) = ( 381 × 569 ) / 1

LCM(381,569) = 216789 / 1

LCM(381,569) = 216789


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 9930/381, 3619/569

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 9930/381, 3619/569?

Answer: GCF of Numerators as per given numbers 9930/381, 3619/569 is

GCF of Numerators i.e. for 9930,3619 is 1

LCM of denominators i.e. for 381,569 is 216789.

Thus, GCF of Fractions is 1/216789.Finally, GCF of Fractions for 9930/381, 3619/569 is 1/216789.