Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 20, 496, 801, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 496, 801, 334 is 1
GCD(20, 496, 801, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 496, 801, 334 is 1
GCD(20, 496, 801, 334) = 1
Given Input numbers are 20, 496, 801, 334
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 20, 496, 801, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 496, 801, 334 is 1.
Therefore, GCD of numbers 20, 496, 801, 334 is 1
Given Input Data is 20, 496, 801, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 334 is 2 x 167
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 496) = 2480
GCD(20, 496) = ( 20 x 496 ) / 2480
GCD(20, 496) = 9920 / 2480
GCD(20, 496) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 801) = 3204
GCD(4, 801) = ( 4 x 801 ) / 3204
GCD(4, 801) = 3204 / 3204
GCD(4, 801) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
GCD of 20, 496, 801, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 496, 801, 334?
GCD of 20, 496, 801, 334 is 1
2. Where do I get the detailed procedure to find GCD of 20, 496, 801, 334?
You can find a detailed procedure to find GCD of 20, 496, 801, 334 on our page.
3. How to find GCD of 20, 496, 801, 334 on a calculator?
You can find the GCD of 20, 496, 801, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.