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 51, 694, 408, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 694, 408, 687 is 1
GCD(51, 694, 408, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 694, 408, 687 is 1
GCD(51, 694, 408, 687) = 1
Given Input numbers are 51, 694, 408, 687
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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 51, 694, 408, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 694, 408, 687 is 1.
Therefore, GCD of numbers 51, 694, 408, 687 is 1
Given Input Data is 51, 694, 408, 687
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 694 is 2 x 347
Prime Factorization of 408 is 2 x 2 x 2 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(51, 694) = 35394
GCD(51, 694) = ( 51 x 694 ) / 35394
GCD(51, 694) = 35394 / 35394
GCD(51, 694) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
GCD(1, 408) = 408 / 408
GCD(1, 408) = 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 51, 694, 408, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 694, 408, 687?
GCD of 51, 694, 408, 687 is 1
2. Where do I get the detailed procedure to find GCD of 51, 694, 408, 687?
You can find a detailed procedure to find GCD of 51, 694, 408, 687 on our page.
3. How to find GCD of 51, 694, 408, 687 on a calculator?
You can find the GCD of 51, 694, 408, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.