Greatest Common Factor of 3684/734, 1693/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3684/734, 1693/598

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 3684/734,1693/598

Given fractions are 3684/734,1693/598

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 3684,1693

Greatest Common Factor of Numerators i.e. GCF of 3684,1693 is 1 .

LCM of Denominators means LCM of 734,598 as per the given fractions.

LCM of 734,598 is 219466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3684,1693

GCF of Fractions 3684/734,1693/598 is 1/219466

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

Greatest Common Factor of 3684,1693 By Matching Biggest Common Factor Method

Greatest Common Factor of 3684,1693 By Matching Biggest Common Factor Method

Factors of 3684

List of positive integer factors of 3684 that divides 3684 without a remainder.

1,2,3,4,6,12,307,614,921,1228,1842,3684

Factors of 1693

List of positive integer factors of 1693 that divides 1693 without a remainder.

1,1693

Greatest Common Factor

We found the factors 3684,1693 . The biggest common factor number is the GCF number.
So the greatest common factor 3684,1693 is 1.

Lets's calculate LCM of 734,598

2 734, 598
367, 299

∴ So the LCM of the given numbers is 2 x 367 x 299 = 219466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219466

Therefore, the GCF of Fractions 3684/734,1693/598 is 1/219466

Least Common Multiple of 734,598 with GCF Formula

Least Common Multiple of 734,598 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 734,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,598) = 2

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

GCF(734,598) x common factors =2 x 1 = 2

LCM(734,598) = ( 734 × 598 ) / 2

LCM(734,598) = 438932 / 2

LCM(734,598) = 219466


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 3684/734, 1693/598

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 3684/734, 1693/598?

Answer: GCF of Numerators as per given numbers 3684/734, 1693/598 is

GCF of Numerators i.e. for 3684,1693 is 1

LCM of denominators i.e. for 734,598 is 219466.

Thus, GCF of Fractions is 1/219466.Finally, GCF of Fractions for 3684/734, 1693/598 is 1/219466.