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 734, 567, 576, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 734, 567, 576, 212 is 1
GCD(734, 567, 576, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 734, 567, 576, 212 is 1
GCD(734, 567, 576, 212) = 1
Given Input numbers are 734, 567, 576, 212
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 734, 567, 576, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 567, 576, 212 is 1.
Therefore, GCD of numbers 734, 567, 576, 212 is 1
Given Input Data is 734, 567, 576, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 734 is 2 x 367
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 212 is 2 x 2 x 53
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(734, 567) = 416178
GCD(734, 567) = ( 734 x 567 ) / 416178
GCD(734, 567) = 416178 / 416178
GCD(734, 567) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
GCD(1, 576) = 576 / 576
GCD(1, 576) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
GCD of 734, 567, 576, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 734, 567, 576, 212?
GCD of 734, 567, 576, 212 is 1
2. Where do I get the detailed procedure to find GCD of 734, 567, 576, 212?
You can find a detailed procedure to find GCD of 734, 567, 576, 212 on our page.
3. How to find GCD of 734, 567, 576, 212 on a calculator?
You can find the GCD of 734, 567, 576, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.