Greatest Common Factor of 3406/722, 6929/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3406/722, 6929/786

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 3406/722,6929/786

Given fractions are 3406/722,6929/786

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 3406,6929

Greatest Common Factor of Numerators i.e. GCF of 3406,6929 is 13 .

LCM of Denominators means LCM of 722,786 as per the given fractions.

LCM of 722,786 is 283746 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3406,6929

GCF of Fractions 3406/722,6929/786 is 13/283746

13 3406, 6929
262, 533

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3406,6929 By Matching Biggest Common Factor Method

Greatest Common Factor of 3406,6929 By Matching Biggest Common Factor Method

Factors of 3406

List of positive integer factors of 3406 that divides 3406 without a remainder.

1,2,13,26,131,262,1703,3406

Factors of 6929

List of positive integer factors of 6929 that divides 6929 without a remainder.

1,13,41,169,533,6929

Greatest Common Factor

We found the factors 3406,6929 . The biggest common factor number is the GCF number.
So the greatest common factor 3406,6929 is 13.

Lets's calculate LCM of 722,786

2 722, 786
361, 393

∴ So the LCM of the given numbers is 2 x 361 x 393 = 283746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/283746

Therefore, the GCF of Fractions 3406/722,6929/786 is 13/283746

Least Common Multiple of 722,786 with GCF Formula

Least Common Multiple of 722,786 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 722,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,786) = 2

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

GCF(722,786) x common factors =2 x 1 = 2

LCM(722,786) = ( 722 × 786 ) / 2

LCM(722,786) = 567492 / 2

LCM(722,786) = 283746


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 3406/722, 6929/786

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 3406/722, 6929/786?

Answer: GCF of Numerators as per given numbers 3406/722, 6929/786 is

GCF of Numerators i.e. for 3406,6929 is 13

LCM of denominators i.e. for 722,786 is 283746.

Thus, GCF of Fractions is 13/283746.Finally, GCF of Fractions for 3406/722, 6929/786 is 13/283746.