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 54, 422, 526, 213 i.e. 1 largest integer that divides all the numbers equally.
GCD of 54, 422, 526, 213 is 1
GCD(54, 422, 526, 213) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 54, 422, 526, 213 is 1
GCD(54, 422, 526, 213) = 1
Given Input numbers are 54, 422, 526, 213
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Greatest Common Divisior
We found the divisors of 54, 422, 526, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 422, 526, 213 is 1.
Therefore, GCD of numbers 54, 422, 526, 213 is 1
Given Input Data is 54, 422, 526, 213
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 422 is 2 x 211
Prime Factorization of 526 is 2 x 263
Prime Factorization of 213 is 3 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(54, 422) = 11394
GCD(54, 422) = ( 54 x 422 ) / 11394
GCD(54, 422) = 22788 / 11394
GCD(54, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 526
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 526) = 526
GCD(2, 526) = ( 2 x 526 ) / 526
GCD(2, 526) = 1052 / 526
GCD(2, 526) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 213) = 426
GCD(2, 213) = ( 2 x 213 ) / 426
GCD(2, 213) = 426 / 426
GCD(2, 213) = 1
GCD of 54, 422, 526, 213 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 54, 422, 526, 213?
GCD of 54, 422, 526, 213 is 1
2. Where do I get the detailed procedure to find GCD of 54, 422, 526, 213?
You can find a detailed procedure to find GCD of 54, 422, 526, 213 on our page.
3. How to find GCD of 54, 422, 526, 213 on a calculator?
You can find the GCD of 54, 422, 526, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.