Greatest Common Factor of 329/105, 583/697, 723/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 329/105, 583/697, 723/274

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 329/105,583/697,723/274

Given fractions are 329/105,583/697,723/274

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 329,583,723

Greatest Common Factor of Numerators i.e. GCF of 329,583,723 is 1 .

LCM of Denominators means LCM of 105,697,274 as per the given fractions.

LCM of 105,697,274 is 20052690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 329,583,723

GCF of Fractions 329/105,583/697,723/274 is 1/20052690

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

Greatest Common Factor of 329,583,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,583,723 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 329,583,723 . The biggest common factor number is the GCF number.
So the greatest common factor 329,583,723 is 1.

Lets's calculate LCM of 105,697,274

Given numbers has no common factors except 1. So, there LCM is their product i.e 20052690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20052690

Therefore, the GCF of Fractions 329/105,583/697,723/274 is 1/20052690

Least Common Multiple of 105,697,274 with GCF Formula

Least Common Multiple of 105,697,274 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 105,697,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,697,274) = 1

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

GCF(105,697,274) x common factors =1 x 1 = 1

LCM(105,697,274) = ( 105 × 697 × 274 ) / 1

LCM(105,697,274) = 20052690 / 1

LCM(105,697,274) = 20052690


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 329/105, 583/697, 723/274

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 329/105, 583/697, 723/274?

Answer: GCF of Numerators as per given numbers 329/105, 583/697, 723/274 is

GCF of Numerators i.e. for 329,583,723 is 1

LCM of denominators i.e. for 105,697,274 is 20052690.

Thus, GCF of Fractions is 1/20052690.Finally, GCF of Fractions for 329/105, 583/697, 723/274 is 1/20052690.