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 716, 152, 960, 897 i.e. 1 largest integer that divides all the numbers equally.
GCD of 716, 152, 960, 897 is 1
GCD(716, 152, 960, 897) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 152, 960, 897 is 1
GCD(716, 152, 960, 897) = 1
Given Input numbers are 716, 152, 960, 897
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
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 716, 152, 960, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 152, 960, 897 is 1.
Therefore, GCD of numbers 716, 152, 960, 897 is 1
Given Input Data is 716, 152, 960, 897
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
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(716, 152) = 27208
GCD(716, 152) = ( 716 x 152 ) / 27208
GCD(716, 152) = 108832 / 27208
GCD(716, 152) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 960) = 960
GCD(4, 960) = ( 4 x 960 ) / 960
GCD(4, 960) = 3840 / 960
GCD(4, 960) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 897) = 3588
GCD(4, 897) = ( 4 x 897 ) / 3588
GCD(4, 897) = 3588 / 3588
GCD(4, 897) = 1
GCD of 716, 152, 960, 897 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 152, 960, 897?
GCD of 716, 152, 960, 897 is 1
2. Where do I get the detailed procedure to find GCD of 716, 152, 960, 897?
You can find a detailed procedure to find GCD of 716, 152, 960, 897 on our page.
3. How to find GCD of 716, 152, 960, 897 on a calculator?
You can find the GCD of 716, 152, 960, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.