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 212, 780, 81, 658 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 780, 81, 658 is 1
GCD(212, 780, 81, 658) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 780, 81, 658 is 1
GCD(212, 780, 81, 658) = 1
Given Input numbers are 212, 780, 81, 658
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Greatest Common Divisior
We found the divisors of 212, 780, 81, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 780, 81, 658 is 1.
Therefore, GCD of numbers 212, 780, 81, 658 is 1
Given Input Data is 212, 780, 81, 658
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 658 is 2 x 7 x 47
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(212, 780) = 41340
GCD(212, 780) = ( 212 x 780 ) / 41340
GCD(212, 780) = 165360 / 41340
GCD(212, 780) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 81) = 324
GCD(4, 81) = ( 4 x 81 ) / 324
GCD(4, 81) = 324 / 324
GCD(4, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
GCD(1, 658) = 658 / 658
GCD(1, 658) = 1
GCD of 212, 780, 81, 658 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 780, 81, 658?
GCD of 212, 780, 81, 658 is 1
2. Where do I get the detailed procedure to find GCD of 212, 780, 81, 658?
You can find a detailed procedure to find GCD of 212, 780, 81, 658 on our page.
3. How to find GCD of 212, 780, 81, 658 on a calculator?
You can find the GCD of 212, 780, 81, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.