Greatest Common Factor of 3332/24, 6983/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3332/24, 6983/894

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 3332/24,6983/894

Given fractions are 3332/24,6983/894

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 3332,6983

Greatest Common Factor of Numerators i.e. GCF of 3332,6983 is 1 .

LCM of Denominators means LCM of 24,894 as per the given fractions.

LCM of 24,894 is 3576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3332,6983

GCF of Fractions 3332/24,6983/894 is 1/3576

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

Greatest Common Factor of 3332,6983 By Matching Biggest Common Factor Method

Greatest Common Factor of 3332,6983 By Matching Biggest Common Factor Method

Factors of 3332

List of positive integer factors of 3332 that divides 3332 without a remainder.

1,2,4,7,14,17,28,34,49,68,98,119,196,238,476,833,1666,3332

Factors of 6983

List of positive integer factors of 6983 that divides 6983 without a remainder.

1,6983

Greatest Common Factor

We found the factors 3332,6983 . The biggest common factor number is the GCF number.
So the greatest common factor 3332,6983 is 1.

Lets's calculate LCM of 24,894

2 24, 894
3 12, 447
4, 149

∴ So the LCM of the given numbers is 2 x 3 x 4 x 149 = 3576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3576

Therefore, the GCF of Fractions 3332/24,6983/894 is 1/3576

Least Common Multiple of 24,894 with GCF Formula

Least Common Multiple of 24,894 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 24,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,894) = 6

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

GCF(24,894) x common factors =6 x 1 = 6

LCM(24,894) = ( 24 × 894 ) / 6

LCM(24,894) = 21456 / 6

LCM(24,894) = 3576


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 3332/24, 6983/894

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 3332/24, 6983/894?

Answer: GCF of Numerators as per given numbers 3332/24, 6983/894 is

GCF of Numerators i.e. for 3332,6983 is 1

LCM of denominators i.e. for 24,894 is 3576.

Thus, GCF of Fractions is 1/3576.Finally, GCF of Fractions for 3332/24, 6983/894 is 1/3576.