Greatest Common Factor of 1704/759, 4508/4014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1704/759, 4508/4014

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 1704/759,4508/4014

Given fractions are 1704/759,4508/4014

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 1704,4508

Greatest Common Factor of Numerators i.e. GCF of 1704,4508 is 4 .

LCM of Denominators means LCM of 759,4014 as per the given fractions.

LCM of 759,4014 is 1015542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1704,4508

GCF of Fractions 1704/759,4508/4014 is 4/1015542

2 1704, 4508
2 852, 2254
426, 1127

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1704,4508 By Matching Biggest Common Factor Method

Greatest Common Factor of 1704,4508 By Matching Biggest Common Factor Method

Factors of 1704

List of positive integer factors of 1704 that divides 1704 without a remainder.

1,2,3,4,6,8,12,24,71,142,213,284,426,568,852,1704

Factors of 4508

List of positive integer factors of 4508 that divides 4508 without a remainder.

1,2,4,7,14,23,28,46,49,92,98,161,196,322,644,1127,2254,4508

Greatest Common Factor

We found the factors 1704,4508 . The biggest common factor number is the GCF number.
So the greatest common factor 1704,4508 is 4.

Lets's calculate LCM of 759,4014

3 759, 4014
253, 1338

∴ So the LCM of the given numbers is 3 x 253 x 1338 = 1015542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1015542

Therefore, the GCF of Fractions 1704/759,4508/4014 is 4/1015542

Least Common Multiple of 759,4014 with GCF Formula

Least Common Multiple of 759,4014 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 759,4014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,4014) = 3

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

GCF(759,4014) x common factors =3 x 1 = 3

LCM(759,4014) = ( 759 × 4014 ) / 3

LCM(759,4014) = 3046626 / 3

LCM(759,4014) = 1015542


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 1704/759, 4508/4014

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 1704/759, 4508/4014?

Answer: GCF of Numerators as per given numbers 1704/759, 4508/4014 is

GCF of Numerators i.e. for 1704,4508 is 4

LCM of denominators i.e. for 759,4014 is 1015542.

Thus, GCF of Fractions is 4/1015542.Finally, GCF of Fractions for 1704/759, 4508/4014 is 4/1015542.