Greatest Common Factor of 734/91, 383/36, 616/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 734/91, 383/36, 616/582

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 734/91,383/36,616/582

Given fractions are 734/91,383/36,616/582

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 734,383,616

Greatest Common Factor of Numerators i.e. GCF of 734,383,616 is 1 .

LCM of Denominators means LCM of 91,36,582 as per the given fractions.

LCM of 91,36,582 is 317772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 734,383,616

GCF of Fractions 734/91,383/36,616/582 is 1/317772

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

Greatest Common Factor of 734,383,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,383,616 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 734,383,616 . The biggest common factor number is the GCF number.
So the greatest common factor 734,383,616 is 1.

Lets's calculate LCM of 91,36,582

2 91, 36, 582
3 91, 18, 291
91, 6, 97

∴ So the LCM of the given numbers is 2 x 3 x 91 x 6 x 97 = 317772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317772

Therefore, the GCF of Fractions 734/91,383/36,616/582 is 1/317772

Least Common Multiple of 91,36,582 with GCF Formula

Least Common Multiple of 91,36,582 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 91,36,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,36,582) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(91,36,582) x common factors =1 x 6 = 6

LCM(91,36,582) = ( 91 × 36 × 582 ) / 6

LCM(91,36,582) = 1906632 / 6

LCM(91,36,582) = 317772


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 734/91, 383/36, 616/582

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 734/91, 383/36, 616/582?

Answer: GCF of Numerators as per given numbers 734/91, 383/36, 616/582 is

GCF of Numerators i.e. for 734,383,616 is 1

LCM of denominators i.e. for 91,36,582 is 317772.

Thus, GCF of Fractions is 1/317772.Finally, GCF of Fractions for 734/91, 383/36, 616/582 is 1/317772.