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 659, 262, 14, 596 i.e. 1 largest integer that divides all the numbers equally.
GCD of 659, 262, 14, 596 is 1
GCD(659, 262, 14, 596) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 659, 262, 14, 596 is 1
GCD(659, 262, 14, 596) = 1
Given Input numbers are 659, 262, 14, 596
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Greatest Common Divisior
We found the divisors of 659, 262, 14, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 262, 14, 596 is 1.
Therefore, GCD of numbers 659, 262, 14, 596 is 1
Given Input Data is 659, 262, 14, 596
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 659 is 659
Prime Factorization of 262 is 2 x 131
Prime Factorization of 14 is 2 x 7
Prime Factorization of 596 is 2 x 2 x 149
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(659, 262) = 172658
GCD(659, 262) = ( 659 x 262 ) / 172658
GCD(659, 262) = 172658 / 172658
GCD(659, 262) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 596
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 596) = 596
GCD(1, 596) = ( 1 x 596 ) / 596
GCD(1, 596) = 596 / 596
GCD(1, 596) = 1
GCD of 659, 262, 14, 596 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 659, 262, 14, 596?
GCD of 659, 262, 14, 596 is 1
2. Where do I get the detailed procedure to find GCD of 659, 262, 14, 596?
You can find a detailed procedure to find GCD of 659, 262, 14, 596 on our page.
3. How to find GCD of 659, 262, 14, 596 on a calculator?
You can find the GCD of 659, 262, 14, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.