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 472, 767, 85, 556 i.e. 1 largest integer that divides all the numbers equally.
GCD of 472, 767, 85, 556 is 1
GCD(472, 767, 85, 556) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 472, 767, 85, 556 is 1
GCD(472, 767, 85, 556) = 1
Given Input numbers are 472, 767, 85, 556
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Greatest Common Divisior
We found the divisors of 472, 767, 85, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 767, 85, 556 is 1.
Therefore, GCD of numbers 472, 767, 85, 556 is 1
Given Input Data is 472, 767, 85, 556
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 767 is 13 x 59
Prime Factorization of 85 is 5 x 17
Prime Factorization of 556 is 2 x 2 x 139
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(472, 767) = 6136
GCD(472, 767) = ( 472 x 767 ) / 6136
GCD(472, 767) = 362024 / 6136
GCD(472, 767) = 59
Step2:
Here we consider the GCD from the above i.e. 59 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(59, 85) = 5015
GCD(59, 85) = ( 59 x 85 ) / 5015
GCD(59, 85) = 5015 / 5015
GCD(59, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 556
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 556) = 556
GCD(1, 556) = ( 1 x 556 ) / 556
GCD(1, 556) = 556 / 556
GCD(1, 556) = 1
GCD of 472, 767, 85, 556 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 472, 767, 85, 556?
GCD of 472, 767, 85, 556 is 1
2. Where do I get the detailed procedure to find GCD of 472, 767, 85, 556?
You can find a detailed procedure to find GCD of 472, 767, 85, 556 on our page.
3. How to find GCD of 472, 767, 85, 556 on a calculator?
You can find the GCD of 472, 767, 85, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.