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 972, 923, 602, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 923, 602, 799 is 1
GCD(972, 923, 602, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 923, 602, 799 is 1
GCD(972, 923, 602, 799) = 1
Given Input numbers are 972, 923, 602, 799
To find the GCD of numbers using factoring list out all the divisors of each number
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 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Greatest Common Divisior
We found the divisors of 972, 923, 602, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 923, 602, 799 is 1.
Therefore, GCD of numbers 972, 923, 602, 799 is 1
Given Input Data is 972, 923, 602, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 923 is 13 x 71
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 799 is 17 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(972, 923) = 897156
GCD(972, 923) = ( 972 x 923 ) / 897156
GCD(972, 923) = 897156 / 897156
GCD(972, 923) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 602) = 602
GCD(1, 602) = ( 1 x 602 ) / 602
GCD(1, 602) = 602 / 602
GCD(1, 602) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 799) = 799
GCD(1, 799) = ( 1 x 799 ) / 799
GCD(1, 799) = 799 / 799
GCD(1, 799) = 1
GCD of 972, 923, 602, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 923, 602, 799?
GCD of 972, 923, 602, 799 is 1
2. Where do I get the detailed procedure to find GCD of 972, 923, 602, 799?
You can find a detailed procedure to find GCD of 972, 923, 602, 799 on our page.
3. How to find GCD of 972, 923, 602, 799 on a calculator?
You can find the GCD of 972, 923, 602, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.