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 611, 600, 67, 420 i.e. 1 largest integer that divides all the numbers equally.
GCD of 611, 600, 67, 420 is 1
GCD(611, 600, 67, 420) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 611, 600, 67, 420 is 1
GCD(611, 600, 67, 420) = 1
Given Input numbers are 611, 600, 67, 420
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
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
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Greatest Common Divisior
We found the divisors of 611, 600, 67, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 611, 600, 67, 420 is 1.
Therefore, GCD of numbers 611, 600, 67, 420 is 1
Given Input Data is 611, 600, 67, 420
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 611 is 13 x 47
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 67 is 67
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
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(611, 600) = 366600
GCD(611, 600) = ( 611 x 600 ) / 366600
GCD(611, 600) = 366600 / 366600
GCD(611, 600) = 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 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
GCD(1, 420) = 420 / 420
GCD(1, 420) = 1
GCD of 611, 600, 67, 420 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 611, 600, 67, 420?
GCD of 611, 600, 67, 420 is 1
2. Where do I get the detailed procedure to find GCD of 611, 600, 67, 420?
You can find a detailed procedure to find GCD of 611, 600, 67, 420 on our page.
3. How to find GCD of 611, 600, 67, 420 on a calculator?
You can find the GCD of 611, 600, 67, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.