Greatest Common Factor of 716/39, 812/33, 834/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 716/39, 812/33, 834/668

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 716/39,812/33,834/668

Given fractions are 716/39,812/33,834/668

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 716,812,834

Greatest Common Factor of Numerators i.e. GCF of 716,812,834 is 2 .

LCM of Denominators means LCM of 39,33,668 as per the given fractions.

LCM of 39,33,668 is 286572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 716,812,834

GCF of Fractions 716/39,812/33,834/668 is 2/286572

2 716, 812, 834
358, 406, 417

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

Greatest Common Factor of 716,812,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,812,834 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 716,812,834 . The biggest common factor number is the GCF number.
So the greatest common factor 716,812,834 is 2.

Lets's calculate LCM of 39,33,668

3 39, 33, 668
13, 11, 668

∴ So the LCM of the given numbers is 3 x 13 x 11 x 668 = 286572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/286572

Therefore, the GCF of Fractions 716/39,812/33,834/668 is 2/286572

Least Common Multiple of 39,33,668 with GCF Formula

Least Common Multiple of 39,33,668 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 39,33,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,33,668) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,33,668) x common factors =1 x 3 = 3

LCM(39,33,668) = ( 39 × 33 × 668 ) / 3

LCM(39,33,668) = 859716 / 3

LCM(39,33,668) = 286572


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 716/39, 812/33, 834/668

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 716/39, 812/33, 834/668?

Answer: GCF of Numerators as per given numbers 716/39, 812/33, 834/668 is

GCF of Numerators i.e. for 716,812,834 is 2

LCM of denominators i.e. for 39,33,668 is 286572.

Thus, GCF of Fractions is 2/286572.Finally, GCF of Fractions for 716/39, 812/33, 834/668 is 2/286572.