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 22, 745, 372, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 22, 745, 372, 753 is 1
GCD(22, 745, 372, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 745, 372, 753 is 1
GCD(22, 745, 372, 753) = 1
Given Input numbers are 22, 745, 372, 753
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 22, 745, 372, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 745, 372, 753 is 1.
Therefore, GCD of numbers 22, 745, 372, 753 is 1
Given Input Data is 22, 745, 372, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 745 is 5 x 149
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 753 is 3 x 251
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(22, 745) = 16390
GCD(22, 745) = ( 22 x 745 ) / 16390
GCD(22, 745) = 16390 / 16390
GCD(22, 745) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 22, 745, 372, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 745, 372, 753?
GCD of 22, 745, 372, 753 is 1
2. Where do I get the detailed procedure to find GCD of 22, 745, 372, 753?
You can find a detailed procedure to find GCD of 22, 745, 372, 753 on our page.
3. How to find GCD of 22, 745, 372, 753 on a calculator?
You can find the GCD of 22, 745, 372, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.