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 667, 720, 242, 659 i.e. 1 largest integer that divides all the numbers equally.
GCD of 667, 720, 242, 659 is 1
GCD(667, 720, 242, 659) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 667, 720, 242, 659 is 1
GCD(667, 720, 242, 659) = 1
Given Input numbers are 667, 720, 242, 659
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Greatest Common Divisior
We found the divisors of 667, 720, 242, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 720, 242, 659 is 1.
Therefore, GCD of numbers 667, 720, 242, 659 is 1
Given Input Data is 667, 720, 242, 659
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 667 is 23 x 29
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 659 is 659
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(667, 720) = 480240
GCD(667, 720) = ( 667 x 720 ) / 480240
GCD(667, 720) = 480240 / 480240
GCD(667, 720) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 659
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 659) = 659
GCD(1, 659) = ( 1 x 659 ) / 659
GCD(1, 659) = 659 / 659
GCD(1, 659) = 1
GCD of 667, 720, 242, 659 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 667, 720, 242, 659?
GCD of 667, 720, 242, 659 is 1
2. Where do I get the detailed procedure to find GCD of 667, 720, 242, 659?
You can find a detailed procedure to find GCD of 667, 720, 242, 659 on our page.
3. How to find GCD of 667, 720, 242, 659 on a calculator?
You can find the GCD of 667, 720, 242, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.