Greatest Common Factor of 1619/528, 8223/3001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1619/528, 8223/3001

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 1619/528,8223/3001

Given fractions are 1619/528,8223/3001

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 1619,8223

Greatest Common Factor of Numerators i.e. GCF of 1619,8223 is 1 .

LCM of Denominators means LCM of 528,3001 as per the given fractions.

LCM of 528,3001 is 1584528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1619,8223

GCF of Fractions 1619/528,8223/3001 is 1/1584528

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

Greatest Common Factor of 1619,8223 By Matching Biggest Common Factor Method

Greatest Common Factor of 1619,8223 By Matching Biggest Common Factor Method

Factors of 1619

List of positive integer factors of 1619 that divides 1619 without a remainder.

1,1619

Factors of 8223

List of positive integer factors of 8223 that divides 8223 without a remainder.

1,3,2741,8223

Greatest Common Factor

We found the factors 1619,8223 . The biggest common factor number is the GCF number.
So the greatest common factor 1619,8223 is 1.

Lets's calculate LCM of 528,3001

Given numbers has no common factors except 1. So, there LCM is their product i.e 1584528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1584528

Therefore, the GCF of Fractions 1619/528,8223/3001 is 1/1584528

Least Common Multiple of 528,3001 with GCF Formula

Least Common Multiple of 528,3001 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 528,3001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,3001) = 1

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

GCF(528,3001) x common factors =1 x 1 = 1

LCM(528,3001) = ( 528 × 3001 ) / 1

LCM(528,3001) = 1584528 / 1

LCM(528,3001) = 1584528


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 1619/528, 8223/3001

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 1619/528, 8223/3001?

Answer: GCF of Numerators as per given numbers 1619/528, 8223/3001 is

GCF of Numerators i.e. for 1619,8223 is 1

LCM of denominators i.e. for 528,3001 is 1584528.

Thus, GCF of Fractions is 1/1584528.Finally, GCF of Fractions for 1619/528, 8223/3001 is 1/1584528.