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 446, 551, 57, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 446, 551, 57, 687 is 1
GCD(446, 551, 57, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 446, 551, 57, 687 is 1
GCD(446, 551, 57, 687) = 1
Given Input numbers are 446, 551, 57, 687
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Greatest Common Divisior
We found the divisors of 446, 551, 57, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 551, 57, 687 is 1.
Therefore, GCD of numbers 446, 551, 57, 687 is 1
Given Input Data is 446, 551, 57, 687
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 446 is 2 x 223
Prime Factorization of 551 is 19 x 29
Prime Factorization of 57 is 3 x 19
Prime Factorization of 687 is 3 x 229
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(446, 551) = 245746
GCD(446, 551) = ( 446 x 551 ) / 245746
GCD(446, 551) = 245746 / 245746
GCD(446, 551) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
GCD of 446, 551, 57, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 446, 551, 57, 687?
GCD of 446, 551, 57, 687 is 1
2. Where do I get the detailed procedure to find GCD of 446, 551, 57, 687?
You can find a detailed procedure to find GCD of 446, 551, 57, 687 on our page.
3. How to find GCD of 446, 551, 57, 687 on a calculator?
You can find the GCD of 446, 551, 57, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.