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, 720, 576, 897 i.e. 1 largest integer that divides all the numbers equally.
GCD of 970, 720, 576, 897 is 1
GCD(970, 720, 576, 897) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 720, 576, 897 is 1
GCD(970, 720, 576, 897) = 1
Given Input numbers are 970, 720, 576, 897
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 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Greatest Common Divisior
We found the divisors of 970, 720, 576, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 720, 576, 897 is 1.
Therefore, GCD of numbers 970, 720, 576, 897 is 1
Given Input Data is 970, 720, 576, 897
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 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 897 is 3 x 13 x 23
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, 720) = 69840
GCD(970, 720) = ( 970 x 720 ) / 69840
GCD(970, 720) = 698400 / 69840
GCD(970, 720) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 576) = 2880
GCD(10, 576) = ( 10 x 576 ) / 2880
GCD(10, 576) = 5760 / 2880
GCD(10, 576) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 897) = 1794
GCD(2, 897) = ( 2 x 897 ) / 1794
GCD(2, 897) = 1794 / 1794
GCD(2, 897) = 1
GCD of 970, 720, 576, 897 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 720, 576, 897?
GCD of 970, 720, 576, 897 is 1
2. Where do I get the detailed procedure to find GCD of 970, 720, 576, 897?
You can find a detailed procedure to find GCD of 970, 720, 576, 897 on our page.
3. How to find GCD of 970, 720, 576, 897 on a calculator?
You can find the GCD of 970, 720, 576, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.