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 588, 277, 687, 960 i.e. 1 largest integer that divides all the numbers equally.
GCD of 588, 277, 687, 960 is 1
GCD(588, 277, 687, 960) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 588, 277, 687, 960 is 1
GCD(588, 277, 687, 960) = 1
Given Input numbers are 588, 277, 687, 960
To find the GCD of numbers using factoring list out all the divisors of each number
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 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Greatest Common Divisior
We found the divisors of 588, 277, 687, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 277, 687, 960 is 1.
Therefore, GCD of numbers 588, 277, 687, 960 is 1
Given Input Data is 588, 277, 687, 960
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 277 is 277
Prime Factorization of 687 is 3 x 229
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
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(588, 277) = 162876
GCD(588, 277) = ( 588 x 277 ) / 162876
GCD(588, 277) = 162876 / 162876
GCD(588, 277) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
GCD(1, 960) = 960 / 960
GCD(1, 960) = 1
GCD of 588, 277, 687, 960 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 588, 277, 687, 960?
GCD of 588, 277, 687, 960 is 1
2. Where do I get the detailed procedure to find GCD of 588, 277, 687, 960?
You can find a detailed procedure to find GCD of 588, 277, 687, 960 on our page.
3. How to find GCD of 588, 277, 687, 960 on a calculator?
You can find the GCD of 588, 277, 687, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.