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 667, 188, 506, 112 i.e. 1 largest integer that divides all the numbers equally.
GCD of 667, 188, 506, 112 is 1
GCD(667, 188, 506, 112) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 667, 188, 506, 112 is 1
GCD(667, 188, 506, 112) = 1
Given Input numbers are 667, 188, 506, 112
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Greatest Common Divisior
We found the divisors of 667, 188, 506, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 188, 506, 112 is 1.
Therefore, GCD of numbers 667, 188, 506, 112 is 1
Given Input Data is 667, 188, 506, 112
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 667 is 23 x 29
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
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(667, 188) = 125396
GCD(667, 188) = ( 667 x 188 ) / 125396
GCD(667, 188) = 125396 / 125396
GCD(667, 188) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 506
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 506) = 506
GCD(1, 506) = ( 1 x 506 ) / 506
GCD(1, 506) = 506 / 506
GCD(1, 506) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
GCD of 667, 188, 506, 112 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 667, 188, 506, 112?
GCD of 667, 188, 506, 112 is 1
2. Where do I get the detailed procedure to find GCD of 667, 188, 506, 112?
You can find a detailed procedure to find GCD of 667, 188, 506, 112 on our page.
3. How to find GCD of 667, 188, 506, 112 on a calculator?
You can find the GCD of 667, 188, 506, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.