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 901, 408, 750, 606 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 408, 750, 606 is 1
GCD(901, 408, 750, 606) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 408, 750, 606 is 1
GCD(901, 408, 750, 606) = 1
Given Input numbers are 901, 408, 750, 606
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Greatest Common Divisior
We found the divisors of 901, 408, 750, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 408, 750, 606 is 1.
Therefore, GCD of numbers 901, 408, 750, 606 is 1
Given Input Data is 901, 408, 750, 606
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 606 is 2 x 3 x 101
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(901, 408) = 21624
GCD(901, 408) = ( 901 x 408 ) / 21624
GCD(901, 408) = 367608 / 21624
GCD(901, 408) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 750) = 12750
GCD(17, 750) = ( 17 x 750 ) / 12750
GCD(17, 750) = 12750 / 12750
GCD(17, 750) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 606
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 606) = 606
GCD(1, 606) = ( 1 x 606 ) / 606
GCD(1, 606) = 606 / 606
GCD(1, 606) = 1
GCD of 901, 408, 750, 606 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 408, 750, 606?
GCD of 901, 408, 750, 606 is 1
2. Where do I get the detailed procedure to find GCD of 901, 408, 750, 606?
You can find a detailed procedure to find GCD of 901, 408, 750, 606 on our page.
3. How to find GCD of 901, 408, 750, 606 on a calculator?
You can find the GCD of 901, 408, 750, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.