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 712, 222, 462, 849 i.e. 1 largest integer that divides all the numbers equally.
GCD of 712, 222, 462, 849 is 1
GCD(712, 222, 462, 849) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 222, 462, 849 is 1
GCD(712, 222, 462, 849) = 1
Given Input numbers are 712, 222, 462, 849
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Greatest Common Divisior
We found the divisors of 712, 222, 462, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 222, 462, 849 is 1.
Therefore, GCD of numbers 712, 222, 462, 849 is 1
Given Input Data is 712, 222, 462, 849
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 849 is 3 x 283
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(712, 222) = 79032
GCD(712, 222) = ( 712 x 222 ) / 79032
GCD(712, 222) = 158064 / 79032
GCD(712, 222) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
GCD(2, 462) = 924 / 462
GCD(2, 462) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 849) = 1698
GCD(2, 849) = ( 2 x 849 ) / 1698
GCD(2, 849) = 1698 / 1698
GCD(2, 849) = 1
GCD of 712, 222, 462, 849 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 712, 222, 462, 849?
GCD of 712, 222, 462, 849 is 1
2. Where do I get the detailed procedure to find GCD of 712, 222, 462, 849?
You can find a detailed procedure to find GCD of 712, 222, 462, 849 on our page.
3. How to find GCD of 712, 222, 462, 849 on a calculator?
You can find the GCD of 712, 222, 462, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.