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 461, 452, 72, 551 i.e. 1 largest integer that divides all the numbers equally.
GCD of 461, 452, 72, 551 is 1
GCD(461, 452, 72, 551) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 461, 452, 72, 551 is 1
GCD(461, 452, 72, 551) = 1
Given Input numbers are 461, 452, 72, 551
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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 461, 452, 72, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 452, 72, 551 is 1.
Therefore, GCD of numbers 461, 452, 72, 551 is 1
Given Input Data is 461, 452, 72, 551
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 461 is 461
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
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(461, 452) = 208372
GCD(461, 452) = ( 461 x 452 ) / 208372
GCD(461, 452) = 208372 / 208372
GCD(461, 452) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 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 461, 452, 72, 551 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 461, 452, 72, 551?
GCD of 461, 452, 72, 551 is 1
2. Where do I get the detailed procedure to find GCD of 461, 452, 72, 551?
You can find a detailed procedure to find GCD of 461, 452, 72, 551 on our page.
3. How to find GCD of 461, 452, 72, 551 on a calculator?
You can find the GCD of 461, 452, 72, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.