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 855, 730, 82, 970 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 730, 82, 970 is 1
GCD(855, 730, 82, 970) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 730, 82, 970 is 1
GCD(855, 730, 82, 970) = 1
Given Input numbers are 855, 730, 82, 970
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
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 855, 730, 82, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 730, 82, 970 is 1.
Therefore, GCD of numbers 855, 730, 82, 970 is 1
Given Input Data is 855, 730, 82, 970
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 82 is 2 x 41
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(855, 730) = 124830
GCD(855, 730) = ( 855 x 730 ) / 124830
GCD(855, 730) = 624150 / 124830
GCD(855, 730) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 82) = 410
GCD(5, 82) = ( 5 x 82 ) / 410
GCD(5, 82) = 410 / 410
GCD(5, 82) = 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 855, 730, 82, 970 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 730, 82, 970?
GCD of 855, 730, 82, 970 is 1
2. Where do I get the detailed procedure to find GCD of 855, 730, 82, 970?
You can find a detailed procedure to find GCD of 855, 730, 82, 970 on our page.
3. How to find GCD of 855, 730, 82, 970 on a calculator?
You can find the GCD of 855, 730, 82, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.