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 772, 745, 69, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 745, 69, 177 is 1
GCD(772, 745, 69, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 745, 69, 177 is 1
GCD(772, 745, 69, 177) = 1
Given Input numbers are 772, 745, 69, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 772, 745, 69, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 745, 69, 177 is 1.
Therefore, GCD of numbers 772, 745, 69, 177 is 1
Given Input Data is 772, 745, 69, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 745 is 5 x 149
Prime Factorization of 69 is 3 x 23
Prime Factorization of 177 is 3 x 59
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(772, 745) = 575140
GCD(772, 745) = ( 772 x 745 ) / 575140
GCD(772, 745) = 575140 / 575140
GCD(772, 745) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 772, 745, 69, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 745, 69, 177?
GCD of 772, 745, 69, 177 is 1
2. Where do I get the detailed procedure to find GCD of 772, 745, 69, 177?
You can find a detailed procedure to find GCD of 772, 745, 69, 177 on our page.
3. How to find GCD of 772, 745, 69, 177 on a calculator?
You can find the GCD of 772, 745, 69, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.