Greatest Common Factor of 8062/336, 1747/3264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8062/336, 1747/3264

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 8062/336,1747/3264

Given fractions are 8062/336,1747/3264

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 8062,1747

Greatest Common Factor of Numerators i.e. GCF of 8062,1747 is 1 .

LCM of Denominators means LCM of 336,3264 as per the given fractions.

LCM of 336,3264 is 22848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8062,1747

GCF of Fractions 8062/336,1747/3264 is 1/22848

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8062,1747 By Matching Biggest Common Factor Method

Greatest Common Factor of 8062,1747 By Matching Biggest Common Factor Method

Factors of 8062

List of positive integer factors of 8062 that divides 8062 without a remainder.

1,2,29,58,139,278,4031,8062

Factors of 1747

List of positive integer factors of 1747 that divides 1747 without a remainder.

1,1747

Greatest Common Factor

We found the factors 8062,1747 . The biggest common factor number is the GCF number.
So the greatest common factor 8062,1747 is 1.

Lets's calculate LCM of 336,3264

2 336, 3264
2 168, 1632
2 84, 816
2 42, 408
3 21, 204
7, 68

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 68 = 22848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22848

Therefore, the GCF of Fractions 8062/336,1747/3264 is 1/22848

Least Common Multiple of 336,3264 with GCF Formula

Least Common Multiple of 336,3264 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 336,3264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,3264) = 48

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

GCF(336,3264) x common factors =48 x 1 = 48

LCM(336,3264) = ( 336 × 3264 ) / 48

LCM(336,3264) = 1096704 / 48

LCM(336,3264) = 22848


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 8062/336, 1747/3264

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 8062/336, 1747/3264?

Answer: GCF of Numerators as per given numbers 8062/336, 1747/3264 is

GCF of Numerators i.e. for 8062,1747 is 1

LCM of denominators i.e. for 336,3264 is 22848.

Thus, GCF of Fractions is 1/22848.Finally, GCF of Fractions for 8062/336, 1747/3264 is 1/22848.