Greatest Common Factor of 746/76, 612/14, 514/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 746/76, 612/14, 514/686

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 746/76,612/14,514/686

Given fractions are 746/76,612/14,514/686

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 746,612,514

Greatest Common Factor of Numerators i.e. GCF of 746,612,514 is 2 .

LCM of Denominators means LCM of 76,14,686 as per the given fractions.

LCM of 76,14,686 is 26068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 746,612,514

GCF of Fractions 746/76,612/14,514/686 is 2/26068

2 746, 612, 514
373, 306, 257

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

Greatest Common Factor of 746,612,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,612,514 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 746,612,514 . The biggest common factor number is the GCF number.
So the greatest common factor 746,612,514 is 2.

Lets's calculate LCM of 76,14,686

2 76, 14, 686
7 38, 7, 343
38, 1, 49

∴ So the LCM of the given numbers is 2 x 7 x 38 x 1 x 49 = 26068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26068

Therefore, the GCF of Fractions 746/76,612/14,514/686 is 2/26068

Least Common Multiple of 76,14,686 with GCF Formula

Least Common Multiple of 76,14,686 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 76,14,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,14,686) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(76,14,686) x common factors =2 x 14 = 28

LCM(76,14,686) = ( 76 × 14 × 686 ) / 28

LCM(76,14,686) = 729904 / 28

LCM(76,14,686) = 26068


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 746/76, 612/14, 514/686

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 746/76, 612/14, 514/686?

Answer: GCF of Numerators as per given numbers 746/76, 612/14, 514/686 is

GCF of Numerators i.e. for 746,612,514 is 2

LCM of denominators i.e. for 76,14,686 is 26068.

Thus, GCF of Fractions is 2/26068.Finally, GCF of Fractions for 746/76, 612/14, 514/686 is 2/26068.