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 106, 444, 36, 785 i.e. 1 largest integer that divides all the numbers equally.
GCD of 106, 444, 36, 785 is 1
GCD(106, 444, 36, 785) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 106, 444, 36, 785 is 1
GCD(106, 444, 36, 785) = 1
Given Input numbers are 106, 444, 36, 785
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Greatest Common Divisior
We found the divisors of 106, 444, 36, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 444, 36, 785 is 1.
Therefore, GCD of numbers 106, 444, 36, 785 is 1
Given Input Data is 106, 444, 36, 785
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 106 is 2 x 53
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 785 is 5 x 157
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(106, 444) = 23532
GCD(106, 444) = ( 106 x 444 ) / 23532
GCD(106, 444) = 47064 / 23532
GCD(106, 444) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 36) = 36
GCD(2, 36) = ( 2 x 36 ) / 36
GCD(2, 36) = 72 / 36
GCD(2, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 785) = 1570
GCD(2, 785) = ( 2 x 785 ) / 1570
GCD(2, 785) = 1570 / 1570
GCD(2, 785) = 1
GCD of 106, 444, 36, 785 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 106, 444, 36, 785?
GCD of 106, 444, 36, 785 is 1
2. Where do I get the detailed procedure to find GCD of 106, 444, 36, 785?
You can find a detailed procedure to find GCD of 106, 444, 36, 785 on our page.
3. How to find GCD of 106, 444, 36, 785 on a calculator?
You can find the GCD of 106, 444, 36, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.