Greatest Common Factor of 4080/524, 4581/6451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4080/524, 4581/6451

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 4080/524,4581/6451

Given fractions are 4080/524,4581/6451

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 4080,4581

Greatest Common Factor of Numerators i.e. GCF of 4080,4581 is 3 .

LCM of Denominators means LCM of 524,6451 as per the given fractions.

LCM of 524,6451 is 3380324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4080,4581

GCF of Fractions 4080/524,4581/6451 is 3/3380324

3 4080, 4581
1360, 1527

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

Greatest Common Factor of 4080,4581 By Matching Biggest Common Factor Method

Greatest Common Factor of 4080,4581 By Matching Biggest Common Factor Method

Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080

Factors of 4581

List of positive integer factors of 4581 that divides 4581 without a remainder.

1,3,9,509,1527,4581

Greatest Common Factor

We found the factors 4080,4581 . The biggest common factor number is the GCF number.
So the greatest common factor 4080,4581 is 3.

Lets's calculate LCM of 524,6451

Given numbers has no common factors except 1. So, there LCM is their product i.e 3380324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3380324

Therefore, the GCF of Fractions 4080/524,4581/6451 is 3/3380324

Least Common Multiple of 524,6451 with GCF Formula

Least Common Multiple of 524,6451 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 524,6451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,6451) = 1

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

GCF(524,6451) x common factors =1 x 1 = 1

LCM(524,6451) = ( 524 × 6451 ) / 1

LCM(524,6451) = 3380324 / 1

LCM(524,6451) = 3380324


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 4080/524, 4581/6451

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 4080/524, 4581/6451?

Answer: GCF of Numerators as per given numbers 4080/524, 4581/6451 is

GCF of Numerators i.e. for 4080,4581 is 3

LCM of denominators i.e. for 524,6451 is 3380324.

Thus, GCF of Fractions is 3/3380324.Finally, GCF of Fractions for 4080/524, 4581/6451 is 3/3380324.