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 172, 620, 64, 233 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 620, 64, 233 is 1
GCD(172, 620, 64, 233) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 620, 64, 233 is 1
GCD(172, 620, 64, 233) = 1
Given Input numbers are 172, 620, 64, 233
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
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 233
List of positive integer divisors of 233 that divides 233 without a remainder.
1, 233
Greatest Common Divisior
We found the divisors of 172, 620, 64, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 620, 64, 233 is 1.
Therefore, GCD of numbers 172, 620, 64, 233 is 1
Given Input Data is 172, 620, 64, 233
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 233 is 233
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(172, 620) = 26660
GCD(172, 620) = ( 172 x 620 ) / 26660
GCD(172, 620) = 106640 / 26660
GCD(172, 620) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 64) = 64
GCD(4, 64) = ( 4 x 64 ) / 64
GCD(4, 64) = 256 / 64
GCD(4, 64) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 233
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 233) = 932
GCD(4, 233) = ( 4 x 233 ) / 932
GCD(4, 233) = 932 / 932
GCD(4, 233) = 1
GCD of 172, 620, 64, 233 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 620, 64, 233?
GCD of 172, 620, 64, 233 is 1
2. Where do I get the detailed procedure to find GCD of 172, 620, 64, 233?
You can find a detailed procedure to find GCD of 172, 620, 64, 233 on our page.
3. How to find GCD of 172, 620, 64, 233 on a calculator?
You can find the GCD of 172, 620, 64, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.