Greatest Common Factor of 734/3216, 214/5782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 734/3216, 214/5782

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 734/3216,214/5782

Given fractions are 734/3216,214/5782

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 734,214

Greatest Common Factor of Numerators i.e. GCF of 734,214 is 2 .

LCM of Denominators means LCM of 3216,5782 as per the given fractions.

LCM of 3216,5782 is 9297456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 734,214

GCF of Fractions 734/3216,214/5782 is 2/9297456

2 734, 214
367, 107

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

Greatest Common Factor of 734,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,214 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 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 734,214 . The biggest common factor number is the GCF number.
So the greatest common factor 734,214 is 2.

Lets's calculate LCM of 3216,5782

2 3216, 5782
1608, 2891

∴ So the LCM of the given numbers is 2 x 1608 x 2891 = 9297456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9297456

Therefore, the GCF of Fractions 734/3216,214/5782 is 2/9297456

Least Common Multiple of 3216,5782 with GCF Formula

Least Common Multiple of 3216,5782 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 3216,5782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3216,5782) = 2

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

GCF(3216,5782) x common factors =2 x 1 = 2

LCM(3216,5782) = ( 3216 × 5782 ) / 2

LCM(3216,5782) = 18594912 / 2

LCM(3216,5782) = 9297456


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 734/3216, 214/5782

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 734/3216, 214/5782?

Answer: GCF of Numerators as per given numbers 734/3216, 214/5782 is

GCF of Numerators i.e. for 734,214 is 2

LCM of denominators i.e. for 3216,5782 is 9297456.

Thus, GCF of Fractions is 2/9297456.Finally, GCF of Fractions for 734/3216, 214/5782 is 2/9297456.