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 971, 153, 20, 408 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 153, 20, 408 is 1
GCD(971, 153, 20, 408) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 153, 20, 408 is 1
GCD(971, 153, 20, 408) = 1
Given Input numbers are 971, 153, 20, 408
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Greatest Common Divisior
We found the divisors of 971, 153, 20, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 153, 20, 408 is 1.
Therefore, GCD of numbers 971, 153, 20, 408 is 1
Given Input Data is 971, 153, 20, 408
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 408 is 2 x 2 x 2 x 3 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(971, 153) = 148563
GCD(971, 153) = ( 971 x 153 ) / 148563
GCD(971, 153) = 148563 / 148563
GCD(971, 153) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
GCD(1, 408) = 408 / 408
GCD(1, 408) = 1
GCD of 971, 153, 20, 408 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 153, 20, 408?
GCD of 971, 153, 20, 408 is 1
2. Where do I get the detailed procedure to find GCD of 971, 153, 20, 408?
You can find a detailed procedure to find GCD of 971, 153, 20, 408 on our page.
3. How to find GCD of 971, 153, 20, 408 on a calculator?
You can find the GCD of 971, 153, 20, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.