Greatest Common Factor of 8519/704, 4452/2031

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8519/704, 4452/2031

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 8519/704,4452/2031

Given fractions are 8519/704,4452/2031

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 8519,4452

Greatest Common Factor of Numerators i.e. GCF of 8519,4452 is 7 .

LCM of Denominators means LCM of 704,2031 as per the given fractions.

LCM of 704,2031 is 1429824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8519,4452

GCF of Fractions 8519/704,4452/2031 is 7/1429824

7 8519, 4452
1217, 636

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8519,4452 By Matching Biggest Common Factor Method

Greatest Common Factor of 8519,4452 By Matching Biggest Common Factor Method

Factors of 8519

List of positive integer factors of 8519 that divides 8519 without a remainder.

1,7,1217,8519

Factors of 4452

List of positive integer factors of 4452 that divides 4452 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452

Greatest Common Factor

We found the factors 8519,4452 . The biggest common factor number is the GCF number.
So the greatest common factor 8519,4452 is 7.

Lets's calculate LCM of 704,2031

Given numbers has no common factors except 1. So, there LCM is their product i.e 1429824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1429824

Therefore, the GCF of Fractions 8519/704,4452/2031 is 7/1429824

Least Common Multiple of 704,2031 with GCF Formula

Least Common Multiple of 704,2031 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 704,2031 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,2031) = 1

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

GCF(704,2031) x common factors =1 x 1 = 1

LCM(704,2031) = ( 704 × 2031 ) / 1

LCM(704,2031) = 1429824 / 1

LCM(704,2031) = 1429824


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 8519/704, 4452/2031

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 8519/704, 4452/2031?

Answer: GCF of Numerators as per given numbers 8519/704, 4452/2031 is

GCF of Numerators i.e. for 8519,4452 is 7

LCM of denominators i.e. for 704,2031 is 1429824.

Thus, GCF of Fractions is 7/1429824.Finally, GCF of Fractions for 8519/704, 4452/2031 is 7/1429824.