Greatest Common Factor of 3334/29, 3280/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3334/29, 3280/858

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 3334/29,3280/858

Given fractions are 3334/29,3280/858

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 3334,3280

Greatest Common Factor of Numerators i.e. GCF of 3334,3280 is 2 .

LCM of Denominators means LCM of 29,858 as per the given fractions.

LCM of 29,858 is 24882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3334,3280

GCF of Fractions 3334/29,3280/858 is 2/24882

2 3334, 3280
1667, 1640

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

Greatest Common Factor of 3334,3280 By Matching Biggest Common Factor Method

Greatest Common Factor of 3334,3280 By Matching Biggest Common Factor Method

Factors of 3334

List of positive integer factors of 3334 that divides 3334 without a remainder.

1,2,1667,3334

Factors of 3280

List of positive integer factors of 3280 that divides 3280 without a remainder.

1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280

Greatest Common Factor

We found the factors 3334,3280 . The biggest common factor number is the GCF number.
So the greatest common factor 3334,3280 is 2.

Lets's calculate LCM of 29,858

Given numbers has no common factors except 1. So, there LCM is their product i.e 24882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24882

Therefore, the GCF of Fractions 3334/29,3280/858 is 2/24882

Least Common Multiple of 29,858 with GCF Formula

Least Common Multiple of 29,858 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 29,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,858) = 1

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

GCF(29,858) x common factors =1 x 1 = 1

LCM(29,858) = ( 29 × 858 ) / 1

LCM(29,858) = 24882 / 1

LCM(29,858) = 24882


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 3334/29, 3280/858

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 3334/29, 3280/858?

Answer: GCF of Numerators as per given numbers 3334/29, 3280/858 is

GCF of Numerators i.e. for 3334,3280 is 2

LCM of denominators i.e. for 29,858 is 24882.

Thus, GCF of Fractions is 2/24882.Finally, GCF of Fractions for 3334/29, 3280/858 is 2/24882.