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 29, 968, 197, 470 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 968, 197, 470 is 1
GCD(29, 968, 197, 470) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 968, 197, 470 is 1
GCD(29, 968, 197, 470) = 1
Given Input numbers are 29, 968, 197, 470
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Greatest Common Divisior
We found the divisors of 29, 968, 197, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 968, 197, 470 is 1.
Therefore, GCD of numbers 29, 968, 197, 470 is 1
Given Input Data is 29, 968, 197, 470
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 197 is 197
Prime Factorization of 470 is 2 x 5 x 47
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(29, 968) = 28072
GCD(29, 968) = ( 29 x 968 ) / 28072
GCD(29, 968) = 28072 / 28072
GCD(29, 968) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 197) = 197
GCD(1, 197) = ( 1 x 197 ) / 197
GCD(1, 197) = 197 / 197
GCD(1, 197) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
GCD of 29, 968, 197, 470 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 968, 197, 470?
GCD of 29, 968, 197, 470 is 1
2. Where do I get the detailed procedure to find GCD of 29, 968, 197, 470?
You can find a detailed procedure to find GCD of 29, 968, 197, 470 on our page.
3. How to find GCD of 29, 968, 197, 470 on a calculator?
You can find the GCD of 29, 968, 197, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.