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 444, 780, 138, 611 i.e. 1 largest integer that divides all the numbers equally.
GCD of 444, 780, 138, 611 is 1
GCD(444, 780, 138, 611) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 780, 138, 611 is 1
GCD(444, 780, 138, 611) = 1
Given Input numbers are 444, 780, 138, 611
To find the GCD of numbers using factoring list out all the divisors of each number
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 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Greatest Common Divisior
We found the divisors of 444, 780, 138, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 780, 138, 611 is 1.
Therefore, GCD of numbers 444, 780, 138, 611 is 1
Given Input Data is 444, 780, 138, 611
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 611 is 13 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(444, 780) = 28860
GCD(444, 780) = ( 444 x 780 ) / 28860
GCD(444, 780) = 346320 / 28860
GCD(444, 780) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 138) = 276
GCD(12, 138) = ( 12 x 138 ) / 276
GCD(12, 138) = 1656 / 276
GCD(12, 138) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 611
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 611) = 3666
GCD(6, 611) = ( 6 x 611 ) / 3666
GCD(6, 611) = 3666 / 3666
GCD(6, 611) = 1
GCD of 444, 780, 138, 611 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 780, 138, 611?
GCD of 444, 780, 138, 611 is 1
2. Where do I get the detailed procedure to find GCD of 444, 780, 138, 611?
You can find a detailed procedure to find GCD of 444, 780, 138, 611 on our page.
3. How to find GCD of 444, 780, 138, 611 on a calculator?
You can find the GCD of 444, 780, 138, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.