Greatest Common Factor of 4811/452, 4672/6686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4811/452, 4672/6686

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 4811/452,4672/6686

Given fractions are 4811/452,4672/6686

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 4811,4672

Greatest Common Factor of Numerators i.e. GCF of 4811,4672 is 1 .

LCM of Denominators means LCM of 452,6686 as per the given fractions.

LCM of 452,6686 is 1511036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4811,4672

GCF of Fractions 4811/452,4672/6686 is 1/1511036

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

Greatest Common Factor of 4811,4672 By Matching Biggest Common Factor Method

Greatest Common Factor of 4811,4672 By Matching Biggest Common Factor Method

Factors of 4811

List of positive integer factors of 4811 that divides 4811 without a remainder.

1,17,283,4811

Factors of 4672

List of positive integer factors of 4672 that divides 4672 without a remainder.

1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672

Greatest Common Factor

We found the factors 4811,4672 . The biggest common factor number is the GCF number.
So the greatest common factor 4811,4672 is 1.

Lets's calculate LCM of 452,6686

2 452, 6686
226, 3343

∴ So the LCM of the given numbers is 2 x 226 x 3343 = 1511036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1511036

Therefore, the GCF of Fractions 4811/452,4672/6686 is 1/1511036

Least Common Multiple of 452,6686 with GCF Formula

Least Common Multiple of 452,6686 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 452,6686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,6686) = 2

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

GCF(452,6686) x common factors =2 x 1 = 2

LCM(452,6686) = ( 452 × 6686 ) / 2

LCM(452,6686) = 3022072 / 2

LCM(452,6686) = 1511036


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 4811/452, 4672/6686

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 4811/452, 4672/6686?

Answer: GCF of Numerators as per given numbers 4811/452, 4672/6686 is

GCF of Numerators i.e. for 4811,4672 is 1

LCM of denominators i.e. for 452,6686 is 1511036.

Thus, GCF of Fractions is 1/1511036.Finally, GCF of Fractions for 4811/452, 4672/6686 is 1/1511036.