Greatest Common Factor of 4984/840, 9106/8361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4984/840, 9106/8361

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 4984/840,9106/8361

Given fractions are 4984/840,9106/8361

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 4984,9106

Greatest Common Factor of Numerators i.e. GCF of 4984,9106 is 2 .

LCM of Denominators means LCM of 840,8361 as per the given fractions.

LCM of 840,8361 is 2341080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4984,9106

GCF of Fractions 4984/840,9106/8361 is 2/2341080

2 4984, 9106
2492, 4553

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

Greatest Common Factor of 4984,9106 By Matching Biggest Common Factor Method

Greatest Common Factor of 4984,9106 By Matching Biggest Common Factor Method

Factors of 4984

List of positive integer factors of 4984 that divides 4984 without a remainder.

1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984

Factors of 9106

List of positive integer factors of 9106 that divides 9106 without a remainder.

1,2,29,58,157,314,4553,9106

Greatest Common Factor

We found the factors 4984,9106 . The biggest common factor number is the GCF number.
So the greatest common factor 4984,9106 is 2.

Lets's calculate LCM of 840,8361

3 840, 8361
280, 2787

∴ So the LCM of the given numbers is 3 x 280 x 2787 = 2341080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2341080

Therefore, the GCF of Fractions 4984/840,9106/8361 is 2/2341080

Least Common Multiple of 840,8361 with GCF Formula

Least Common Multiple of 840,8361 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 840,8361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,8361) = 3

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

GCF(840,8361) x common factors =3 x 1 = 3

LCM(840,8361) = ( 840 × 8361 ) / 3

LCM(840,8361) = 7023240 / 3

LCM(840,8361) = 2341080


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 4984/840, 9106/8361

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 4984/840, 9106/8361?

Answer: GCF of Numerators as per given numbers 4984/840, 9106/8361 is

GCF of Numerators i.e. for 4984,9106 is 2

LCM of denominators i.e. for 840,8361 is 2341080.

Thus, GCF of Fractions is 2/2341080.Finally, GCF of Fractions for 4984/840, 9106/8361 is 2/2341080.