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 164, 720, 107, 603 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 720, 107, 603 is 1
GCD(164, 720, 107, 603) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 720, 107, 603 is 1
GCD(164, 720, 107, 603) = 1
Given Input numbers are 164, 720, 107, 603
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
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 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Greatest Common Divisior
We found the divisors of 164, 720, 107, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 720, 107, 603 is 1.
Therefore, GCD of numbers 164, 720, 107, 603 is 1
Given Input Data is 164, 720, 107, 603
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 107 is 107
Prime Factorization of 603 is 3 x 3 x 67
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(164, 720) = 29520
GCD(164, 720) = ( 164 x 720 ) / 29520
GCD(164, 720) = 118080 / 29520
GCD(164, 720) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 107) = 428
GCD(4, 107) = ( 4 x 107 ) / 428
GCD(4, 107) = 428 / 428
GCD(4, 107) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 603
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 603) = 603
GCD(1, 603) = ( 1 x 603 ) / 603
GCD(1, 603) = 603 / 603
GCD(1, 603) = 1
GCD of 164, 720, 107, 603 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 720, 107, 603?
GCD of 164, 720, 107, 603 is 1
2. Where do I get the detailed procedure to find GCD of 164, 720, 107, 603?
You can find a detailed procedure to find GCD of 164, 720, 107, 603 on our page.
3. How to find GCD of 164, 720, 107, 603 on a calculator?
You can find the GCD of 164, 720, 107, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.