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 658, 131, 87, 522 i.e. 1 largest integer that divides all the numbers equally.
GCD of 658, 131, 87, 522 is 1
GCD(658, 131, 87, 522) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 658, 131, 87, 522 is 1
GCD(658, 131, 87, 522) = 1
Given Input numbers are 658, 131, 87, 522
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
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
Greatest Common Divisior
We found the divisors of 658, 131, 87, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 131, 87, 522 is 1.
Therefore, GCD of numbers 658, 131, 87, 522 is 1
Given Input Data is 658, 131, 87, 522
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 131 is 131
Prime Factorization of 87 is 3 x 29
Prime Factorization of 522 is 2 x 3 x 3 x 29
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(658, 131) = 86198
GCD(658, 131) = ( 658 x 131 ) / 86198
GCD(658, 131) = 86198 / 86198
GCD(658, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 522) = 522
GCD(1, 522) = ( 1 x 522 ) / 522
GCD(1, 522) = 522 / 522
GCD(1, 522) = 1
GCD of 658, 131, 87, 522 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 658, 131, 87, 522?
GCD of 658, 131, 87, 522 is 1
2. Where do I get the detailed procedure to find GCD of 658, 131, 87, 522?
You can find a detailed procedure to find GCD of 658, 131, 87, 522 on our page.
3. How to find GCD of 658, 131, 87, 522 on a calculator?
You can find the GCD of 658, 131, 87, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.