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 800, 201, 69, 426 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 201, 69, 426 is 1
GCD(800, 201, 69, 426) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 201, 69, 426 is 1
GCD(800, 201, 69, 426) = 1
Given Input numbers are 800, 201, 69, 426
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Greatest Common Divisior
We found the divisors of 800, 201, 69, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 201, 69, 426 is 1.
Therefore, GCD of numbers 800, 201, 69, 426 is 1
Given Input Data is 800, 201, 69, 426
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 201 is 3 x 67
Prime Factorization of 69 is 3 x 23
Prime Factorization of 426 is 2 x 3 x 71
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(800, 201) = 160800
GCD(800, 201) = ( 800 x 201 ) / 160800
GCD(800, 201) = 160800 / 160800
GCD(800, 201) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
GCD(1, 426) = 426 / 426
GCD(1, 426) = 1
GCD of 800, 201, 69, 426 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 201, 69, 426?
GCD of 800, 201, 69, 426 is 1
2. Where do I get the detailed procedure to find GCD of 800, 201, 69, 426?
You can find a detailed procedure to find GCD of 800, 201, 69, 426 on our page.
3. How to find GCD of 800, 201, 69, 426 on a calculator?
You can find the GCD of 800, 201, 69, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.