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 467, 112, 23, 970 i.e. 1 largest integer that divides all the numbers equally.
GCD of 467, 112, 23, 970 is 1
GCD(467, 112, 23, 970) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 467, 112, 23, 970 is 1
GCD(467, 112, 23, 970) = 1
Given Input numbers are 467, 112, 23, 970
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
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
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Greatest Common Divisior
We found the divisors of 467, 112, 23, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 467, 112, 23, 970 is 1.
Therefore, GCD of numbers 467, 112, 23, 970 is 1
Given Input Data is 467, 112, 23, 970
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 467 is 467
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 23 is 23
Prime Factorization of 970 is 2 x 5 x 97
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(467, 112) = 52304
GCD(467, 112) = ( 467 x 112 ) / 52304
GCD(467, 112) = 52304 / 52304
GCD(467, 112) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
GCD(1, 970) = 970 / 970
GCD(1, 970) = 1
GCD of 467, 112, 23, 970 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 467, 112, 23, 970?
GCD of 467, 112, 23, 970 is 1
2. Where do I get the detailed procedure to find GCD of 467, 112, 23, 970?
You can find a detailed procedure to find GCD of 467, 112, 23, 970 on our page.
3. How to find GCD of 467, 112, 23, 970 on a calculator?
You can find the GCD of 467, 112, 23, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.