Greatest Common Factor of 1581/704, 6466/9172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1581/704, 6466/9172

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 1581/704,6466/9172

Given fractions are 1581/704,6466/9172

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 1581,6466

Greatest Common Factor of Numerators i.e. GCF of 1581,6466 is 1 .

LCM of Denominators means LCM of 704,9172 as per the given fractions.

LCM of 704,9172 is 1614272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1581,6466

GCF of Fractions 1581/704,6466/9172 is 1/1614272

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

Greatest Common Factor of 1581,6466 By Matching Biggest Common Factor Method

Greatest Common Factor of 1581,6466 By Matching Biggest Common Factor Method

Factors of 1581

List of positive integer factors of 1581 that divides 1581 without a remainder.

1,3,17,31,51,93,527,1581

Factors of 6466

List of positive integer factors of 6466 that divides 6466 without a remainder.

1,2,53,61,106,122,3233,6466

Greatest Common Factor

We found the factors 1581,6466 . The biggest common factor number is the GCF number.
So the greatest common factor 1581,6466 is 1.

Lets's calculate LCM of 704,9172

2 704, 9172
2 352, 4586
176, 2293

∴ So the LCM of the given numbers is 2 x 2 x 176 x 2293 = 1614272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1614272

Therefore, the GCF of Fractions 1581/704,6466/9172 is 1/1614272

Least Common Multiple of 704,9172 with GCF Formula

Least Common Multiple of 704,9172 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 704,9172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,9172) = 4

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

GCF(704,9172) x common factors =4 x 1 = 4

LCM(704,9172) = ( 704 × 9172 ) / 4

LCM(704,9172) = 6457088 / 4

LCM(704,9172) = 1614272


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 1581/704, 6466/9172

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 1581/704, 6466/9172?

Answer: GCF of Numerators as per given numbers 1581/704, 6466/9172 is

GCF of Numerators i.e. for 1581,6466 is 1

LCM of denominators i.e. for 704,9172 is 1614272.

Thus, GCF of Fractions is 1/1614272.Finally, GCF of Fractions for 1581/704, 6466/9172 is 1/1614272.