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, 240, 601, 621 i.e. 1 largest integer that divides all the numbers equally.
GCD of 800, 240, 601, 621 is 1
GCD(800, 240, 601, 621) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 800, 240, 601, 621 is 1
GCD(800, 240, 601, 621) = 1
Given Input numbers are 800, 240, 601, 621
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 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Greatest Common Divisior
We found the divisors of 800, 240, 601, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 240, 601, 621 is 1.
Therefore, GCD of numbers 800, 240, 601, 621 is 1
Given Input Data is 800, 240, 601, 621
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 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 601 is 601
Prime Factorization of 621 is 3 x 3 x 3 x 23
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, 240) = 2400
GCD(800, 240) = ( 800 x 240 ) / 2400
GCD(800, 240) = 192000 / 2400
GCD(800, 240) = 80
Step2:
Here we consider the GCD from the above i.e. 80 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(80, 601) = 48080
GCD(80, 601) = ( 80 x 601 ) / 48080
GCD(80, 601) = 48080 / 48080
GCD(80, 601) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 621) = 621
GCD(1, 621) = ( 1 x 621 ) / 621
GCD(1, 621) = 621 / 621
GCD(1, 621) = 1
GCD of 800, 240, 601, 621 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 800, 240, 601, 621?
GCD of 800, 240, 601, 621 is 1
2. Where do I get the detailed procedure to find GCD of 800, 240, 601, 621?
You can find a detailed procedure to find GCD of 800, 240, 601, 621 on our page.
3. How to find GCD of 800, 240, 601, 621 on a calculator?
You can find the GCD of 800, 240, 601, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.