Greatest Common Factor of 8482/732, 6734/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8482/732, 6734/929

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 8482/732,6734/929

Given fractions are 8482/732,6734/929

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 8482,6734

Greatest Common Factor of Numerators i.e. GCF of 8482,6734 is 2 .

LCM of Denominators means LCM of 732,929 as per the given fractions.

LCM of 732,929 is 680028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8482,6734

GCF of Fractions 8482/732,6734/929 is 2/680028

2 8482, 6734
4241, 3367

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

Greatest Common Factor of 8482,6734 By Matching Biggest Common Factor Method

Greatest Common Factor of 8482,6734 By Matching Biggest Common Factor Method

Factors of 8482

List of positive integer factors of 8482 that divides 8482 without a remainder.

1,2,4241,8482

Factors of 6734

List of positive integer factors of 6734 that divides 6734 without a remainder.

1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734

Greatest Common Factor

We found the factors 8482,6734 . The biggest common factor number is the GCF number.
So the greatest common factor 8482,6734 is 2.

Lets's calculate LCM of 732,929

Given numbers has no common factors except 1. So, there LCM is their product i.e 680028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/680028

Therefore, the GCF of Fractions 8482/732,6734/929 is 2/680028

Least Common Multiple of 732,929 with GCF Formula

Least Common Multiple of 732,929 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 732,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,929) = 1

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

GCF(732,929) x common factors =1 x 1 = 1

LCM(732,929) = ( 732 × 929 ) / 1

LCM(732,929) = 680028 / 1

LCM(732,929) = 680028


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 8482/732, 6734/929

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 8482/732, 6734/929?

Answer: GCF of Numerators as per given numbers 8482/732, 6734/929 is

GCF of Numerators i.e. for 8482,6734 is 2

LCM of denominators i.e. for 732,929 is 680028.

Thus, GCF of Fractions is 2/680028.Finally, GCF of Fractions for 8482/732, 6734/929 is 2/680028.