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, 606, 207, 875 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 606, 207, 875 is 1
GCD(438, 606, 207, 875) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 606, 207, 875 is 1
GCD(438, 606, 207, 875) = 1
Given Input numbers are 438, 606, 207, 875
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 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Greatest Common Divisior
We found the divisors of 438, 606, 207, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 606, 207, 875 is 1.
Therefore, GCD of numbers 438, 606, 207, 875 is 1
Given Input Data is 438, 606, 207, 875
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 606 is 2 x 3 x 101
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 875 is 5 x 5 x 5 x 7
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, 606) = 44238
GCD(438, 606) = ( 438 x 606 ) / 44238
GCD(438, 606) = 265428 / 44238
GCD(438, 606) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 207) = 414
GCD(6, 207) = ( 6 x 207 ) / 414
GCD(6, 207) = 1242 / 414
GCD(6, 207) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 875) = 2625
GCD(3, 875) = ( 3 x 875 ) / 2625
GCD(3, 875) = 2625 / 2625
GCD(3, 875) = 1
GCD of 438, 606, 207, 875 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 606, 207, 875?
GCD of 438, 606, 207, 875 is 1
2. Where do I get the detailed procedure to find GCD of 438, 606, 207, 875?
You can find a detailed procedure to find GCD of 438, 606, 207, 875 on our page.
3. How to find GCD of 438, 606, 207, 875 on a calculator?
You can find the GCD of 438, 606, 207, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.