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 527, 600, 168, 657 i.e. 1 largest integer that divides all the numbers equally.
GCD of 527, 600, 168, 657 is 1
GCD(527, 600, 168, 657) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 527, 600, 168, 657 is 1
GCD(527, 600, 168, 657) = 1
Given Input numbers are 527, 600, 168, 657
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Greatest Common Divisior
We found the divisors of 527, 600, 168, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 600, 168, 657 is 1.
Therefore, GCD of numbers 527, 600, 168, 657 is 1
Given Input Data is 527, 600, 168, 657
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 527 is 17 x 31
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 657 is 3 x 3 x 73
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(527, 600) = 316200
GCD(527, 600) = ( 527 x 600 ) / 316200
GCD(527, 600) = 316200 / 316200
GCD(527, 600) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
GCD(1, 657) = 657 / 657
GCD(1, 657) = 1
GCD of 527, 600, 168, 657 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 527, 600, 168, 657?
GCD of 527, 600, 168, 657 is 1
2. Where do I get the detailed procedure to find GCD of 527, 600, 168, 657?
You can find a detailed procedure to find GCD of 527, 600, 168, 657 on our page.
3. How to find GCD of 527, 600, 168, 657 on a calculator?
You can find the GCD of 527, 600, 168, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.