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 231, 972, 60, 650 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 972, 60, 650 is 1
GCD(231, 972, 60, 650) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 972, 60, 650 is 1
GCD(231, 972, 60, 650) = 1
Given Input numbers are 231, 972, 60, 650
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Greatest Common Divisior
We found the divisors of 231, 972, 60, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 972, 60, 650 is 1.
Therefore, GCD of numbers 231, 972, 60, 650 is 1
Given Input Data is 231, 972, 60, 650
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 650 is 2 x 5 x 5 x 13
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(231, 972) = 74844
GCD(231, 972) = ( 231 x 972 ) / 74844
GCD(231, 972) = 224532 / 74844
GCD(231, 972) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 60) = 60
GCD(3, 60) = ( 3 x 60 ) / 60
GCD(3, 60) = 180 / 60
GCD(3, 60) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 650) = 1950
GCD(3, 650) = ( 3 x 650 ) / 1950
GCD(3, 650) = 1950 / 1950
GCD(3, 650) = 1
GCD of 231, 972, 60, 650 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 972, 60, 650?
GCD of 231, 972, 60, 650 is 1
2. Where do I get the detailed procedure to find GCD of 231, 972, 60, 650?
You can find a detailed procedure to find GCD of 231, 972, 60, 650 on our page.
3. How to find GCD of 231, 972, 60, 650 on a calculator?
You can find the GCD of 231, 972, 60, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.