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 522, 685, 177, 142 i.e. 1 largest integer that divides all the numbers equally.
GCD of 522, 685, 177, 142 is 1
GCD(522, 685, 177, 142) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 522, 685, 177, 142 is 1
GCD(522, 685, 177, 142) = 1
Given Input numbers are 522, 685, 177, 142
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 522, 685, 177, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 685, 177, 142 is 1.
Therefore, GCD of numbers 522, 685, 177, 142 is 1
Given Input Data is 522, 685, 177, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 685 is 5 x 137
Prime Factorization of 177 is 3 x 59
Prime Factorization of 142 is 2 x 71
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(522, 685) = 357570
GCD(522, 685) = ( 522 x 685 ) / 357570
GCD(522, 685) = 357570 / 357570
GCD(522, 685) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
GCD of 522, 685, 177, 142 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 522, 685, 177, 142?
GCD of 522, 685, 177, 142 is 1
2. Where do I get the detailed procedure to find GCD of 522, 685, 177, 142?
You can find a detailed procedure to find GCD of 522, 685, 177, 142 on our page.
3. How to find GCD of 522, 685, 177, 142 on a calculator?
You can find the GCD of 522, 685, 177, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.