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 970, 188, 912, 413 i.e. 1 largest integer that divides all the numbers equally.
GCD of 970, 188, 912, 413 is 1
GCD(970, 188, 912, 413) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 188, 912, 413 is 1
GCD(970, 188, 912, 413) = 1
Given Input numbers are 970, 188, 912, 413
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Greatest Common Divisior
We found the divisors of 970, 188, 912, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 188, 912, 413 is 1.
Therefore, GCD of numbers 970, 188, 912, 413 is 1
Given Input Data is 970, 188, 912, 413
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 413 is 7 x 59
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(970, 188) = 91180
GCD(970, 188) = ( 970 x 188 ) / 91180
GCD(970, 188) = 182360 / 91180
GCD(970, 188) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 912) = 912
GCD(2, 912) = ( 2 x 912 ) / 912
GCD(2, 912) = 1824 / 912
GCD(2, 912) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 413) = 826
GCD(2, 413) = ( 2 x 413 ) / 826
GCD(2, 413) = 826 / 826
GCD(2, 413) = 1
GCD of 970, 188, 912, 413 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 188, 912, 413?
GCD of 970, 188, 912, 413 is 1
2. Where do I get the detailed procedure to find GCD of 970, 188, 912, 413?
You can find a detailed procedure to find GCD of 970, 188, 912, 413 on our page.
3. How to find GCD of 970, 188, 912, 413 on a calculator?
You can find the GCD of 970, 188, 912, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.