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 460, 411, 164, 551 i.e. 1 largest integer that divides all the numbers equally.
GCD of 460, 411, 164, 551 is 1
GCD(460, 411, 164, 551) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 411, 164, 551 is 1
GCD(460, 411, 164, 551) = 1
Given Input numbers are 460, 411, 164, 551
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Greatest Common Divisior
We found the divisors of 460, 411, 164, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 411, 164, 551 is 1.
Therefore, GCD of numbers 460, 411, 164, 551 is 1
Given Input Data is 460, 411, 164, 551
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 411 is 3 x 137
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 551 is 19 x 29
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(460, 411) = 189060
GCD(460, 411) = ( 460 x 411 ) / 189060
GCD(460, 411) = 189060 / 189060
GCD(460, 411) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
GCD(1, 164) = 164 / 164
GCD(1, 164) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 551) = 551
GCD(1, 551) = ( 1 x 551 ) / 551
GCD(1, 551) = 551 / 551
GCD(1, 551) = 1
GCD of 460, 411, 164, 551 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 460, 411, 164, 551?
GCD of 460, 411, 164, 551 is 1
2. Where do I get the detailed procedure to find GCD of 460, 411, 164, 551?
You can find a detailed procedure to find GCD of 460, 411, 164, 551 on our page.
3. How to find GCD of 460, 411, 164, 551 on a calculator?
You can find the GCD of 460, 411, 164, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.