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 466, 437, 470, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 466, 437, 470, 687 is 1
GCD(466, 437, 470, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 466, 437, 470, 687 is 1
GCD(466, 437, 470, 687) = 1
Given Input numbers are 466, 437, 470, 687
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
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 466, 437, 470, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 437, 470, 687 is 1.
Therefore, GCD of numbers 466, 437, 470, 687 is 1
Given Input Data is 466, 437, 470, 687
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 466 is 2 x 233
Prime Factorization of 437 is 19 x 23
Prime Factorization of 470 is 2 x 5 x 47
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(466, 437) = 203642
GCD(466, 437) = ( 466 x 437 ) / 203642
GCD(466, 437) = 203642 / 203642
GCD(466, 437) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 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 466, 437, 470, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 466, 437, 470, 687?
GCD of 466, 437, 470, 687 is 1
2. Where do I get the detailed procedure to find GCD of 466, 437, 470, 687?
You can find a detailed procedure to find GCD of 466, 437, 470, 687 on our page.
3. How to find GCD of 466, 437, 470, 687 on a calculator?
You can find the GCD of 466, 437, 470, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.