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 73, 972, 821, 127 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 972, 821, 127 is 1
GCD(73, 972, 821, 127) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 972, 821, 127 is 1
GCD(73, 972, 821, 127) = 1
Given Input numbers are 73, 972, 821, 127
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
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 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
Greatest Common Divisior
We found the divisors of 73, 972, 821, 127 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 972, 821, 127 is 1.
Therefore, GCD of numbers 73, 972, 821, 127 is 1
Given Input Data is 73, 972, 821, 127
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 821 is 821
Prime Factorization of 127 is 127
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(73, 972) = 70956
GCD(73, 972) = ( 73 x 972 ) / 70956
GCD(73, 972) = 70956 / 70956
GCD(73, 972) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
GCD(1, 821) = 821 / 821
GCD(1, 821) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 127
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 127) = 127
GCD(1, 127) = ( 1 x 127 ) / 127
GCD(1, 127) = 127 / 127
GCD(1, 127) = 1
GCD of 73, 972, 821, 127 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 972, 821, 127?
GCD of 73, 972, 821, 127 is 1
2. Where do I get the detailed procedure to find GCD of 73, 972, 821, 127?
You can find a detailed procedure to find GCD of 73, 972, 821, 127 on our page.
3. How to find GCD of 73, 972, 821, 127 on a calculator?
You can find the GCD of 73, 972, 821, 127 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.