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, 693, 631, 533 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 693, 631, 533 is 1
GCD(971, 693, 631, 533) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 693, 631, 533 is 1
GCD(971, 693, 631, 533) = 1
Given Input numbers are 971, 693, 631, 533
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 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Greatest Common Divisior
We found the divisors of 971, 693, 631, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 693, 631, 533 is 1.
Therefore, GCD of numbers 971, 693, 631, 533 is 1
Given Input Data is 971, 693, 631, 533
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 631 is 631
Prime Factorization of 533 is 13 x 41
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, 693) = 672903
GCD(971, 693) = ( 971 x 693 ) / 672903
GCD(971, 693) = 672903 / 672903
GCD(971, 693) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 631) = 631
GCD(1, 631) = ( 1 x 631 ) / 631
GCD(1, 631) = 631 / 631
GCD(1, 631) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
GCD(1, 533) = 533 / 533
GCD(1, 533) = 1
GCD of 971, 693, 631, 533 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 693, 631, 533?
GCD of 971, 693, 631, 533 is 1
2. Where do I get the detailed procedure to find GCD of 971, 693, 631, 533?
You can find a detailed procedure to find GCD of 971, 693, 631, 533 on our page.
3. How to find GCD of 971, 693, 631, 533 on a calculator?
You can find the GCD of 971, 693, 631, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.