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 421, 697, 67, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 697, 67, 600 is 1
GCD(421, 697, 67, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 697, 67, 600 is 1
GCD(421, 697, 67, 600) = 1
Given Input numbers are 421, 697, 67, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Greatest Common Divisior
We found the divisors of 421, 697, 67, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 697, 67, 600 is 1.
Therefore, GCD of numbers 421, 697, 67, 600 is 1
Given Input Data is 421, 697, 67, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 697 is 17 x 41
Prime Factorization of 67 is 67
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
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(421, 697) = 293437
GCD(421, 697) = ( 421 x 697 ) / 293437
GCD(421, 697) = 293437 / 293437
GCD(421, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
GCD of 421, 697, 67, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 697, 67, 600?
GCD of 421, 697, 67, 600 is 1
2. Where do I get the detailed procedure to find GCD of 421, 697, 67, 600?
You can find a detailed procedure to find GCD of 421, 697, 67, 600 on our page.
3. How to find GCD of 421, 697, 67, 600 on a calculator?
You can find the GCD of 421, 697, 67, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.