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 438, 186, 61, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 186, 61, 924 is 1
GCD(438, 186, 61, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 186, 61, 924 is 1
GCD(438, 186, 61, 924) = 1
Given Input numbers are 438, 186, 61, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 438, 186, 61, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 186, 61, 924 is 1.
Therefore, GCD of numbers 438, 186, 61, 924 is 1
Given Input Data is 438, 186, 61, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 61 is 61
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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(438, 186) = 13578
GCD(438, 186) = ( 438 x 186 ) / 13578
GCD(438, 186) = 81468 / 13578
GCD(438, 186) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 61) = 366
GCD(6, 61) = ( 6 x 61 ) / 366
GCD(6, 61) = 366 / 366
GCD(6, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 438, 186, 61, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 186, 61, 924?
GCD of 438, 186, 61, 924 is 1
2. Where do I get the detailed procedure to find GCD of 438, 186, 61, 924?
You can find a detailed procedure to find GCD of 438, 186, 61, 924 on our page.
3. How to find GCD of 438, 186, 61, 924 on a calculator?
You can find the GCD of 438, 186, 61, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.