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, 616, 729, 662 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 616, 729, 662 is 1
GCD(177, 616, 729, 662) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 616, 729, 662 is 1
GCD(177, 616, 729, 662) = 1
Given Input numbers are 177, 616, 729, 662
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 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Greatest Common Divisior
We found the divisors of 177, 616, 729, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 616, 729, 662 is 1.
Therefore, GCD of numbers 177, 616, 729, 662 is 1
Given Input Data is 177, 616, 729, 662
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 662 is 2 x 331
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, 616) = 109032
GCD(177, 616) = ( 177 x 616 ) / 109032
GCD(177, 616) = 109032 / 109032
GCD(177, 616) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 662
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 662) = 662
GCD(1, 662) = ( 1 x 662 ) / 662
GCD(1, 662) = 662 / 662
GCD(1, 662) = 1
GCD of 177, 616, 729, 662 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 616, 729, 662?
GCD of 177, 616, 729, 662 is 1
2. Where do I get the detailed procedure to find GCD of 177, 616, 729, 662?
You can find a detailed procedure to find GCD of 177, 616, 729, 662 on our page.
3. How to find GCD of 177, 616, 729, 662 on a calculator?
You can find the GCD of 177, 616, 729, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.