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 488, 522, 55, 534 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 522, 55, 534 is 1
GCD(488, 522, 55, 534) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 522, 55, 534 is 1
GCD(488, 522, 55, 534) = 1
Given Input numbers are 488, 522, 55, 534
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
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 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Greatest Common Divisior
We found the divisors of 488, 522, 55, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 522, 55, 534 is 1.
Therefore, GCD of numbers 488, 522, 55, 534 is 1
Given Input Data is 488, 522, 55, 534
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 55 is 5 x 11
Prime Factorization of 534 is 2 x 3 x 89
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(488, 522) = 127368
GCD(488, 522) = ( 488 x 522 ) / 127368
GCD(488, 522) = 254736 / 127368
GCD(488, 522) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 55) = 110
GCD(2, 55) = ( 2 x 55 ) / 110
GCD(2, 55) = 110 / 110
GCD(2, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 534) = 534
GCD(1, 534) = ( 1 x 534 ) / 534
GCD(1, 534) = 534 / 534
GCD(1, 534) = 1
GCD of 488, 522, 55, 534 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 488, 522, 55, 534?
GCD of 488, 522, 55, 534 is 1
2. Where do I get the detailed procedure to find GCD of 488, 522, 55, 534?
You can find a detailed procedure to find GCD of 488, 522, 55, 534 on our page.
3. How to find GCD of 488, 522, 55, 534 on a calculator?
You can find the GCD of 488, 522, 55, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.