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 906, 967, 366, 505 i.e. 1 largest integer that divides all the numbers equally.
GCD of 906, 967, 366, 505 is 1
GCD(906, 967, 366, 505) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 906, 967, 366, 505 is 1
GCD(906, 967, 366, 505) = 1
Given Input numbers are 906, 967, 366, 505
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Greatest Common Divisior
We found the divisors of 906, 967, 366, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 967, 366, 505 is 1.
Therefore, GCD of numbers 906, 967, 366, 505 is 1
Given Input Data is 906, 967, 366, 505
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 906 is 2 x 3 x 151
Prime Factorization of 967 is 967
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 505 is 5 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(906, 967) = 876102
GCD(906, 967) = ( 906 x 967 ) / 876102
GCD(906, 967) = 876102 / 876102
GCD(906, 967) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 505) = 505
GCD(1, 505) = ( 1 x 505 ) / 505
GCD(1, 505) = 505 / 505
GCD(1, 505) = 1
GCD of 906, 967, 366, 505 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 906, 967, 366, 505?
GCD of 906, 967, 366, 505 is 1
2. Where do I get the detailed procedure to find GCD of 906, 967, 366, 505?
You can find a detailed procedure to find GCD of 906, 967, 366, 505 on our page.
3. How to find GCD of 906, 967, 366, 505 on a calculator?
You can find the GCD of 906, 967, 366, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.