Greatest Common Factor of 1328/58, 6482/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1328/58, 6482/747

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 1328/58,6482/747

Given fractions are 1328/58,6482/747

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 1328,6482

Greatest Common Factor of Numerators i.e. GCF of 1328,6482 is 2 .

LCM of Denominators means LCM of 58,747 as per the given fractions.

LCM of 58,747 is 43326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1328,6482

GCF of Fractions 1328/58,6482/747 is 2/43326

2 1328, 6482
664, 3241

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

Greatest Common Factor of 1328,6482 By Matching Biggest Common Factor Method

Greatest Common Factor of 1328,6482 By Matching Biggest Common Factor Method

Factors of 1328

List of positive integer factors of 1328 that divides 1328 without a remainder.

1,2,4,8,16,83,166,332,664,1328

Factors of 6482

List of positive integer factors of 6482 that divides 6482 without a remainder.

1,2,7,14,463,926,3241,6482

Greatest Common Factor

We found the factors 1328,6482 . The biggest common factor number is the GCF number.
So the greatest common factor 1328,6482 is 2.

Lets's calculate LCM of 58,747

Given numbers has no common factors except 1. So, there LCM is their product i.e 43326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43326

Therefore, the GCF of Fractions 1328/58,6482/747 is 2/43326

Least Common Multiple of 58,747 with GCF Formula

Least Common Multiple of 58,747 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 58,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,747) = 1

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

GCF(58,747) x common factors =1 x 1 = 1

LCM(58,747) = ( 58 × 747 ) / 1

LCM(58,747) = 43326 / 1

LCM(58,747) = 43326


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 1328/58, 6482/747

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 1328/58, 6482/747?

Answer: GCF of Numerators as per given numbers 1328/58, 6482/747 is

GCF of Numerators i.e. for 1328,6482 is 2

LCM of denominators i.e. for 58,747 is 43326.

Thus, GCF of Fractions is 2/43326.Finally, GCF of Fractions for 1328/58, 6482/747 is 2/43326.