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 655, 706, 150, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 655, 706, 150, 177 is 1
GCD(655, 706, 150, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 655, 706, 150, 177 is 1
GCD(655, 706, 150, 177) = 1
Given Input numbers are 655, 706, 150, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
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 655, 706, 150, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 706, 150, 177 is 1.
Therefore, GCD of numbers 655, 706, 150, 177 is 1
Given Input Data is 655, 706, 150, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 655 is 5 x 131
Prime Factorization of 706 is 2 x 353
Prime Factorization of 150 is 2 x 3 x 5 x 5
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(655, 706) = 462430
GCD(655, 706) = ( 655 x 706 ) / 462430
GCD(655, 706) = 462430 / 462430
GCD(655, 706) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 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 655, 706, 150, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 655, 706, 150, 177?
GCD of 655, 706, 150, 177 is 1
2. Where do I get the detailed procedure to find GCD of 655, 706, 150, 177?
You can find a detailed procedure to find GCD of 655, 706, 150, 177 on our page.
3. How to find GCD of 655, 706, 150, 177 on a calculator?
You can find the GCD of 655, 706, 150, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.