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, 817, 215, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 970, 817, 215, 984 is 1
GCD(970, 817, 215, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 817, 215, 984 is 1
GCD(970, 817, 215, 984) = 1
Given Input numbers are 970, 817, 215, 984
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 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 970, 817, 215, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 817, 215, 984 is 1.
Therefore, GCD of numbers 970, 817, 215, 984 is 1
Given Input Data is 970, 817, 215, 984
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 817 is 19 x 43
Prime Factorization of 215 is 5 x 43
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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, 817) = 792490
GCD(970, 817) = ( 970 x 817 ) / 792490
GCD(970, 817) = 792490 / 792490
GCD(970, 817) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 215) = 215
GCD(1, 215) = ( 1 x 215 ) / 215
GCD(1, 215) = 215 / 215
GCD(1, 215) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 970, 817, 215, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 817, 215, 984?
GCD of 970, 817, 215, 984 is 1
2. Where do I get the detailed procedure to find GCD of 970, 817, 215, 984?
You can find a detailed procedure to find GCD of 970, 817, 215, 984 on our page.
3. How to find GCD of 970, 817, 215, 984 on a calculator?
You can find the GCD of 970, 817, 215, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.