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 687, 721, 64, 358 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 721, 64, 358 is 1
GCD(687, 721, 64, 358) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 721, 64, 358 is 1
GCD(687, 721, 64, 358) = 1
Given Input numbers are 687, 721, 64, 358
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Greatest Common Divisior
We found the divisors of 687, 721, 64, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 721, 64, 358 is 1.
Therefore, GCD of numbers 687, 721, 64, 358 is 1
Given Input Data is 687, 721, 64, 358
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 721 is 7 x 103
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 358 is 2 x 179
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(687, 721) = 495327
GCD(687, 721) = ( 687 x 721 ) / 495327
GCD(687, 721) = 495327 / 495327
GCD(687, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
GCD of 687, 721, 64, 358 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 721, 64, 358?
GCD of 687, 721, 64, 358 is 1
2. Where do I get the detailed procedure to find GCD of 687, 721, 64, 358?
You can find a detailed procedure to find GCD of 687, 721, 64, 358 on our page.
3. How to find GCD of 687, 721, 64, 358 on a calculator?
You can find the GCD of 687, 721, 64, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.