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, 573, 57, 937 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 573, 57, 937 is 1
GCD(972, 573, 57, 937) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 573, 57, 937 is 1
GCD(972, 573, 57, 937) = 1
Given Input numbers are 972, 573, 57, 937
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 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Greatest Common Divisior
We found the divisors of 972, 573, 57, 937 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 573, 57, 937 is 1.
Therefore, GCD of numbers 972, 573, 57, 937 is 1
Given Input Data is 972, 573, 57, 937
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 573 is 3 x 191
Prime Factorization of 57 is 3 x 19
Prime Factorization of 937 is 937
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, 573) = 185652
GCD(972, 573) = ( 972 x 573 ) / 185652
GCD(972, 573) = 556956 / 185652
GCD(972, 573) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 57) = 57
GCD(3, 57) = ( 3 x 57 ) / 57
GCD(3, 57) = 171 / 57
GCD(3, 57) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 937
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 937) = 2811
GCD(3, 937) = ( 3 x 937 ) / 2811
GCD(3, 937) = 2811 / 2811
GCD(3, 937) = 1
GCD of 972, 573, 57, 937 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 573, 57, 937?
GCD of 972, 573, 57, 937 is 1
2. Where do I get the detailed procedure to find GCD of 972, 573, 57, 937?
You can find a detailed procedure to find GCD of 972, 573, 57, 937 on our page.
3. How to find GCD of 972, 573, 57, 937 on a calculator?
You can find the GCD of 972, 573, 57, 937 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.