Greatest Common Factor of 9878/494, 3332/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9878/494, 3332/468

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 9878/494,3332/468

Given fractions are 9878/494,3332/468

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 9878,3332

Greatest Common Factor of Numerators i.e. GCF of 9878,3332 is 2 .

LCM of Denominators means LCM of 494,468 as per the given fractions.

LCM of 494,468 is 8892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9878,3332

GCF of Fractions 9878/494,3332/468 is 2/8892

2 9878, 3332
4939, 1666

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

Greatest Common Factor of 9878,3332 By Matching Biggest Common Factor Method

Greatest Common Factor of 9878,3332 By Matching Biggest Common Factor Method

Factors of 9878

List of positive integer factors of 9878 that divides 9878 without a remainder.

1,2,11,22,449,898,4939,9878

Factors of 3332

List of positive integer factors of 3332 that divides 3332 without a remainder.

1,2,4,7,14,17,28,34,49,68,98,119,196,238,476,833,1666,3332

Greatest Common Factor

We found the factors 9878,3332 . The biggest common factor number is the GCF number.
So the greatest common factor 9878,3332 is 2.

Lets's calculate LCM of 494,468

2 494, 468
13 247, 234
19, 18

∴ So the LCM of the given numbers is 2 x 13 x 19 x 18 = 8892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8892

Therefore, the GCF of Fractions 9878/494,3332/468 is 2/8892

Least Common Multiple of 494,468 with GCF Formula

Least Common Multiple of 494,468 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 494,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,468) = 26

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

GCF(494,468) x common factors =26 x 1 = 26

LCM(494,468) = ( 494 × 468 ) / 26

LCM(494,468) = 231192 / 26

LCM(494,468) = 8892


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 9878/494, 3332/468

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 9878/494, 3332/468?

Answer: GCF of Numerators as per given numbers 9878/494, 3332/468 is

GCF of Numerators i.e. for 9878,3332 is 2

LCM of denominators i.e. for 494,468 is 8892.

Thus, GCF of Fractions is 2/8892.Finally, GCF of Fractions for 9878/494, 3332/468 is 2/8892.