Greatest Common Factor of 4961/33, 8404/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4961/33, 8404/686

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 4961/33,8404/686

Given fractions are 4961/33,8404/686

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 4961,8404

Greatest Common Factor of Numerators i.e. GCF of 4961,8404 is 11 .

LCM of Denominators means LCM of 33,686 as per the given fractions.

LCM of 33,686 is 22638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4961,8404

GCF of Fractions 4961/33,8404/686 is 11/22638

11 4961, 8404
451, 764

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 4961,8404 By Matching Biggest Common Factor Method

Greatest Common Factor of 4961,8404 By Matching Biggest Common Factor Method

Factors of 4961

List of positive integer factors of 4961 that divides 4961 without a remainder.

1,11,41,121,451,4961

Factors of 8404

List of positive integer factors of 8404 that divides 8404 without a remainder.

1,2,4,11,22,44,191,382,764,2101,4202,8404

Greatest Common Factor

We found the factors 4961,8404 . The biggest common factor number is the GCF number.
So the greatest common factor 4961,8404 is 11.

Lets's calculate LCM of 33,686

Given numbers has no common factors except 1. So, there LCM is their product i.e 22638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/22638

Therefore, the GCF of Fractions 4961/33,8404/686 is 11/22638

Least Common Multiple of 33,686 with GCF Formula

Least Common Multiple of 33,686 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 33,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,686) = 1

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

GCF(33,686) x common factors =1 x 1 = 1

LCM(33,686) = ( 33 × 686 ) / 1

LCM(33,686) = 22638 / 1

LCM(33,686) = 22638


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 4961/33, 8404/686

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 4961/33, 8404/686?

Answer: GCF of Numerators as per given numbers 4961/33, 8404/686 is

GCF of Numerators i.e. for 4961,8404 is 11

LCM of denominators i.e. for 33,686 is 22638.

Thus, GCF of Fractions is 11/22638.Finally, GCF of Fractions for 4961/33, 8404/686 is 11/22638.