Greatest Common Factor of 8802/84, 3906/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8802/84, 3906/498

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 8802/84,3906/498

Given fractions are 8802/84,3906/498

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 8802,3906

Greatest Common Factor of Numerators i.e. GCF of 8802,3906 is 18 .

LCM of Denominators means LCM of 84,498 as per the given fractions.

LCM of 84,498 is 6972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8802,3906

GCF of Fractions 8802/84,3906/498 is 18/6972

2 8802, 3906
3 4401, 1953
3 1467, 651
489, 217

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 8802,3906 By Matching Biggest Common Factor Method

Greatest Common Factor of 8802,3906 By Matching Biggest Common Factor Method

Factors of 8802

List of positive integer factors of 8802 that divides 8802 without a remainder.

1,2,3,6,9,18,27,54,163,326,489,978,1467,2934,4401,8802

Factors of 3906

List of positive integer factors of 3906 that divides 3906 without a remainder.

1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906

Greatest Common Factor

We found the factors 8802,3906 . The biggest common factor number is the GCF number.
So the greatest common factor 8802,3906 is 18.

Lets's calculate LCM of 84,498

2 84, 498
3 42, 249
14, 83

∴ So the LCM of the given numbers is 2 x 3 x 14 x 83 = 6972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/6972

Therefore, the GCF of Fractions 8802/84,3906/498 is 18/6972

Least Common Multiple of 84,498 with GCF Formula

Least Common Multiple of 84,498 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 84,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,498) = 6

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

GCF(84,498) x common factors =6 x 1 = 6

LCM(84,498) = ( 84 × 498 ) / 6

LCM(84,498) = 41832 / 6

LCM(84,498) = 6972


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 8802/84, 3906/498

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 8802/84, 3906/498?

Answer: GCF of Numerators as per given numbers 8802/84, 3906/498 is

GCF of Numerators i.e. for 8802,3906 is 18

LCM of denominators i.e. for 84,498 is 6972.

Thus, GCF of Fractions is 18/6972.Finally, GCF of Fractions for 8802/84, 3906/498 is 18/6972.