Greatest Common Factor of 1782/904, 3582/4087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1782/904, 3582/4087

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 1782/904,3582/4087

Given fractions are 1782/904,3582/4087

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 1782,3582

Greatest Common Factor of Numerators i.e. GCF of 1782,3582 is 18 .

LCM of Denominators means LCM of 904,4087 as per the given fractions.

LCM of 904,4087 is 3694648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1782,3582

GCF of Fractions 1782/904,3582/4087 is 18/3694648

2 1782, 3582
3 891, 1791
3 297, 597
99, 199

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 1782,3582 By Matching Biggest Common Factor Method

Greatest Common Factor of 1782,3582 By Matching Biggest Common Factor Method

Factors of 1782

List of positive integer factors of 1782 that divides 1782 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,297,594,891,1782

Factors of 3582

List of positive integer factors of 3582 that divides 3582 without a remainder.

1,2,3,6,9,18,199,398,597,1194,1791,3582

Greatest Common Factor

We found the factors 1782,3582 . The biggest common factor number is the GCF number.
So the greatest common factor 1782,3582 is 18.

Lets's calculate LCM of 904,4087

Given numbers has no common factors except 1. So, there LCM is their product i.e 3694648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/3694648

Therefore, the GCF of Fractions 1782/904,3582/4087 is 18/3694648

Least Common Multiple of 904,4087 with GCF Formula

Least Common Multiple of 904,4087 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 904,4087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,4087) = 1

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

GCF(904,4087) x common factors =1 x 1 = 1

LCM(904,4087) = ( 904 × 4087 ) / 1

LCM(904,4087) = 3694648 / 1

LCM(904,4087) = 3694648


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 1782/904, 3582/4087

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 1782/904, 3582/4087?

Answer: GCF of Numerators as per given numbers 1782/904, 3582/4087 is

GCF of Numerators i.e. for 1782,3582 is 18

LCM of denominators i.e. for 904,4087 is 3694648.

Thus, GCF of Fractions is 18/3694648.Finally, GCF of Fractions for 1782/904, 3582/4087 is 18/3694648.