Greatest Common Factor of 3406/11, 4942/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3406/11, 4942/836

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 3406/11,4942/836

Given fractions are 3406/11,4942/836

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 3406,4942

Greatest Common Factor of Numerators i.e. GCF of 3406,4942 is 2 .

LCM of Denominators means LCM of 11,836 as per the given fractions.

LCM of 11,836 is 836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3406,4942

GCF of Fractions 3406/11,4942/836 is 2/836

2 3406, 4942
1703, 2471

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

Greatest Common Factor of 3406,4942 By Matching Biggest Common Factor Method

Greatest Common Factor of 3406,4942 By Matching Biggest Common Factor Method

Factors of 3406

List of positive integer factors of 3406 that divides 3406 without a remainder.

1,2,13,26,131,262,1703,3406

Factors of 4942

List of positive integer factors of 4942 that divides 4942 without a remainder.

1,2,7,14,353,706,2471,4942

Greatest Common Factor

We found the factors 3406,4942 . The biggest common factor number is the GCF number.
So the greatest common factor 3406,4942 is 2.

Lets's calculate LCM of 11,836

11 11, 836
1, 76

∴ So the LCM of the given numbers is 11 x 1 x 76 = 836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/836

Therefore, the GCF of Fractions 3406/11,4942/836 is 2/836

Least Common Multiple of 11,836 with GCF Formula

Least Common Multiple of 11,836 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 11,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,836) = 11

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

GCF(11,836) x common factors =11 x 1 = 11

LCM(11,836) = ( 11 × 836 ) / 11

LCM(11,836) = 9196 / 11

LCM(11,836) = 836


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 3406/11, 4942/836

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 3406/11, 4942/836?

Answer: GCF of Numerators as per given numbers 3406/11, 4942/836 is

GCF of Numerators i.e. for 3406,4942 is 2

LCM of denominators i.e. for 11,836 is 836.

Thus, GCF of Fractions is 2/836.Finally, GCF of Fractions for 3406/11, 4942/836 is 2/836.