Greatest Common Factor of 1746/409, 3512/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1746/409, 3512/675

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 1746/409,3512/675

Given fractions are 1746/409,3512/675

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 1746,3512

Greatest Common Factor of Numerators i.e. GCF of 1746,3512 is 2 .

LCM of Denominators means LCM of 409,675 as per the given fractions.

LCM of 409,675 is 276075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1746,3512

GCF of Fractions 1746/409,3512/675 is 2/276075

2 1746, 3512
873, 1756

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1746,3512 By Matching Biggest Common Factor Method

Greatest Common Factor of 1746,3512 By Matching Biggest Common Factor Method

Factors of 1746

List of positive integer factors of 1746 that divides 1746 without a remainder.

1,2,3,6,9,18,97,194,291,582,873,1746

Factors of 3512

List of positive integer factors of 3512 that divides 3512 without a remainder.

1,2,4,8,439,878,1756,3512

Greatest Common Factor

We found the factors 1746,3512 . The biggest common factor number is the GCF number.
So the greatest common factor 1746,3512 is 2.

Lets's calculate LCM of 409,675

Given numbers has no common factors except 1. So, there LCM is their product i.e 276075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/276075

Therefore, the GCF of Fractions 1746/409,3512/675 is 2/276075

Least Common Multiple of 409,675 with GCF Formula

Least Common Multiple of 409,675 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 409,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,675) = 1

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

GCF(409,675) x common factors =1 x 1 = 1

LCM(409,675) = ( 409 × 675 ) / 1

LCM(409,675) = 276075 / 1

LCM(409,675) = 276075


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 1746/409, 3512/675

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 1746/409, 3512/675?

Answer: GCF of Numerators as per given numbers 1746/409, 3512/675 is

GCF of Numerators i.e. for 1746,3512 is 2

LCM of denominators i.e. for 409,675 is 276075.

Thus, GCF of Fractions is 2/276075.Finally, GCF of Fractions for 1746/409, 3512/675 is 2/276075.