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 177, 806, 59, 738 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 806, 59, 738 is 1
GCD(177, 806, 59, 738) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 806, 59, 738 is 1
GCD(177, 806, 59, 738) = 1
Given Input numbers are 177, 806, 59, 738
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Greatest Common Divisior
We found the divisors of 177, 806, 59, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 806, 59, 738 is 1.
Therefore, GCD of numbers 177, 806, 59, 738 is 1
Given Input Data is 177, 806, 59, 738
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 806 is 2 x 13 x 31
Prime Factorization of 59 is 59
Prime Factorization of 738 is 2 x 3 x 3 x 41
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(177, 806) = 142662
GCD(177, 806) = ( 177 x 806 ) / 142662
GCD(177, 806) = 142662 / 142662
GCD(177, 806) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
GCD(1, 738) = 738 / 738
GCD(1, 738) = 1
GCD of 177, 806, 59, 738 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 806, 59, 738?
GCD of 177, 806, 59, 738 is 1
2. Where do I get the detailed procedure to find GCD of 177, 806, 59, 738?
You can find a detailed procedure to find GCD of 177, 806, 59, 738 on our page.
3. How to find GCD of 177, 806, 59, 738 on a calculator?
You can find the GCD of 177, 806, 59, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.