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 152, 977, 21, 663 i.e. 1 largest integer that divides all the numbers equally.
GCD of 152, 977, 21, 663 is 1
GCD(152, 977, 21, 663) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 152, 977, 21, 663 is 1
GCD(152, 977, 21, 663) = 1
Given Input numbers are 152, 977, 21, 663
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Greatest Common Divisior
We found the divisors of 152, 977, 21, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 977, 21, 663 is 1.
Therefore, GCD of numbers 152, 977, 21, 663 is 1
Given Input Data is 152, 977, 21, 663
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 977 is 977
Prime Factorization of 21 is 3 x 7
Prime Factorization of 663 is 3 x 13 x 17
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(152, 977) = 148504
GCD(152, 977) = ( 152 x 977 ) / 148504
GCD(152, 977) = 148504 / 148504
GCD(152, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 663) = 663
GCD(1, 663) = ( 1 x 663 ) / 663
GCD(1, 663) = 663 / 663
GCD(1, 663) = 1
GCD of 152, 977, 21, 663 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 152, 977, 21, 663?
GCD of 152, 977, 21, 663 is 1
2. Where do I get the detailed procedure to find GCD of 152, 977, 21, 663?
You can find a detailed procedure to find GCD of 152, 977, 21, 663 on our page.
3. How to find GCD of 152, 977, 21, 663 on a calculator?
You can find the GCD of 152, 977, 21, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.