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 62, 214, 459, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 62, 214, 459, 687 is 1
GCD(62, 214, 459, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 62, 214, 459, 687 is 1
GCD(62, 214, 459, 687) = 1
Given Input numbers are 62, 214, 459, 687
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
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 62, 214, 459, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 214, 459, 687 is 1.
Therefore, GCD of numbers 62, 214, 459, 687 is 1
Given Input Data is 62, 214, 459, 687
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 62 is 2 x 31
Prime Factorization of 214 is 2 x 107
Prime Factorization of 459 is 3 x 3 x 3 x 17
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(62, 214) = 6634
GCD(62, 214) = ( 62 x 214 ) / 6634
GCD(62, 214) = 13268 / 6634
GCD(62, 214) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 459) = 918
GCD(2, 459) = ( 2 x 459 ) / 918
GCD(2, 459) = 918 / 918
GCD(2, 459) = 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 62, 214, 459, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 62, 214, 459, 687?
GCD of 62, 214, 459, 687 is 1
2. Where do I get the detailed procedure to find GCD of 62, 214, 459, 687?
You can find a detailed procedure to find GCD of 62, 214, 459, 687 on our page.
3. How to find GCD of 62, 214, 459, 687 on a calculator?
You can find the GCD of 62, 214, 459, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.