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 256, 588, 336, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 256, 588, 336, 687 is 1
GCD(256, 588, 336, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 256, 588, 336, 687 is 1
GCD(256, 588, 336, 687) = 1
Given Input numbers are 256, 588, 336, 687
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
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 256, 588, 336, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 588, 336, 687 is 1.
Therefore, GCD of numbers 256, 588, 336, 687 is 1
Given Input Data is 256, 588, 336, 687
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(256, 588) = 37632
GCD(256, 588) = ( 256 x 588 ) / 37632
GCD(256, 588) = 150528 / 37632
GCD(256, 588) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 336) = 336
GCD(4, 336) = ( 4 x 336 ) / 336
GCD(4, 336) = 1344 / 336
GCD(4, 336) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 687) = 2748
GCD(4, 687) = ( 4 x 687 ) / 2748
GCD(4, 687) = 2748 / 2748
GCD(4, 687) = 1
GCD of 256, 588, 336, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 256, 588, 336, 687?
GCD of 256, 588, 336, 687 is 1
2. Where do I get the detailed procedure to find GCD of 256, 588, 336, 687?
You can find a detailed procedure to find GCD of 256, 588, 336, 687 on our page.
3. How to find GCD of 256, 588, 336, 687 on a calculator?
You can find the GCD of 256, 588, 336, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.