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 590, 662, 121, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 590, 662, 121, 987 is 1
GCD(590, 662, 121, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 590, 662, 121, 987 is 1
GCD(590, 662, 121, 987) = 1
Given Input numbers are 590, 662, 121, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 590, 662, 121, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 662, 121, 987 is 1.
Therefore, GCD of numbers 590, 662, 121, 987 is 1
Given Input Data is 590, 662, 121, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 662 is 2 x 331
Prime Factorization of 121 is 11 x 11
Prime Factorization of 987 is 3 x 7 x 47
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(590, 662) = 195290
GCD(590, 662) = ( 590 x 662 ) / 195290
GCD(590, 662) = 390580 / 195290
GCD(590, 662) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 121) = 242
GCD(2, 121) = ( 2 x 121 ) / 242
GCD(2, 121) = 242 / 242
GCD(2, 121) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 590, 662, 121, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 590, 662, 121, 987?
GCD of 590, 662, 121, 987 is 1
2. Where do I get the detailed procedure to find GCD of 590, 662, 121, 987?
You can find a detailed procedure to find GCD of 590, 662, 121, 987 on our page.
3. How to find GCD of 590, 662, 121, 987 on a calculator?
You can find the GCD of 590, 662, 121, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.