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, 772, 809, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 970, 772, 809, 646 is 1
GCD(970, 772, 809, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 772, 809, 646 is 1
GCD(970, 772, 809, 646) = 1
Given Input numbers are 970, 772, 809, 646
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 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 970, 772, 809, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 772, 809, 646 is 1.
Therefore, GCD of numbers 970, 772, 809, 646 is 1
Given Input Data is 970, 772, 809, 646
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 772 is 2 x 2 x 193
Prime Factorization of 809 is 809
Prime Factorization of 646 is 2 x 17 x 19
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, 772) = 374420
GCD(970, 772) = ( 970 x 772 ) / 374420
GCD(970, 772) = 748840 / 374420
GCD(970, 772) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 809) = 1618
GCD(2, 809) = ( 2 x 809 ) / 1618
GCD(2, 809) = 1618 / 1618
GCD(2, 809) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 970, 772, 809, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 772, 809, 646?
GCD of 970, 772, 809, 646 is 1
2. Where do I get the detailed procedure to find GCD of 970, 772, 809, 646?
You can find a detailed procedure to find GCD of 970, 772, 809, 646 on our page.
3. How to find GCD of 970, 772, 809, 646 on a calculator?
You can find the GCD of 970, 772, 809, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.