Greatest Common Factor of 4816/20, 8901/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4816/20, 8901/446

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 4816/20,8901/446

Given fractions are 4816/20,8901/446

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 4816,8901

Greatest Common Factor of Numerators i.e. GCF of 4816,8901 is 43 .

LCM of Denominators means LCM of 20,446 as per the given fractions.

LCM of 20,446 is 4460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4816,8901

GCF of Fractions 4816/20,8901/446 is 43/4460

43 4816, 8901
112, 207

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 4816,8901 By Matching Biggest Common Factor Method

Greatest Common Factor of 4816,8901 By Matching Biggest Common Factor Method

Factors of 4816

List of positive integer factors of 4816 that divides 4816 without a remainder.

1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816

Factors of 8901

List of positive integer factors of 8901 that divides 8901 without a remainder.

1,3,9,23,43,69,129,207,387,989,2967,8901

Greatest Common Factor

We found the factors 4816,8901 . The biggest common factor number is the GCF number.
So the greatest common factor 4816,8901 is 43.

Lets's calculate LCM of 20,446

2 20, 446
10, 223

∴ So the LCM of the given numbers is 2 x 10 x 223 = 4460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/4460

Therefore, the GCF of Fractions 4816/20,8901/446 is 43/4460

Least Common Multiple of 20,446 with GCF Formula

Least Common Multiple of 20,446 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 20,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,446) = 2

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

GCF(20,446) x common factors =2 x 1 = 2

LCM(20,446) = ( 20 × 446 ) / 2

LCM(20,446) = 8920 / 2

LCM(20,446) = 4460


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 4816/20, 8901/446

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 4816/20, 8901/446?

Answer: GCF of Numerators as per given numbers 4816/20, 8901/446 is

GCF of Numerators i.e. for 4816,8901 is 43

LCM of denominators i.e. for 20,446 is 4460.

Thus, GCF of Fractions is 43/4460.Finally, GCF of Fractions for 4816/20, 8901/446 is 43/4460.