Greatest Common Factor of 583/664, 3741/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 583/664, 3741/768

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 583/664,3741/768

Given fractions are 583/664,3741/768

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 583,3741

Greatest Common Factor of Numerators i.e. GCF of 583,3741 is 1 .

LCM of Denominators means LCM of 664,768 as per the given fractions.

LCM of 664,768 is 63744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 583,3741

GCF of Fractions 583/664,3741/768 is 1/63744

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

Greatest Common Factor of 583,3741 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,3741 By Matching Biggest Common Factor Method

Factors of 583

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

1,11,53,583

Factors of 3741

List of positive integer factors of 3741 that divides 3741 without a remainder.

1,3,29,43,87,129,1247,3741

Greatest Common Factor

We found the factors 583,3741 . The biggest common factor number is the GCF number.
So the greatest common factor 583,3741 is 1.

Lets's calculate LCM of 664,768

2 664, 768
2 332, 384
2 166, 192
83, 96

∴ So the LCM of the given numbers is 2 x 2 x 2 x 83 x 96 = 63744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63744

Therefore, the GCF of Fractions 583/664,3741/768 is 1/63744

Least Common Multiple of 664,768 with GCF Formula

Least Common Multiple of 664,768 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 664,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,768) = 8

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

GCF(664,768) x common factors =8 x 1 = 8

LCM(664,768) = ( 664 × 768 ) / 8

LCM(664,768) = 509952 / 8

LCM(664,768) = 63744


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 583/664, 3741/768

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 583/664, 3741/768?

Answer: GCF of Numerators as per given numbers 583/664, 3741/768 is

GCF of Numerators i.e. for 583,3741 is 1

LCM of denominators i.e. for 664,768 is 63744.

Thus, GCF of Fractions is 1/63744.Finally, GCF of Fractions for 583/664, 3741/768 is 1/63744.