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 960, 397, 583, 750 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 397, 583, 750 is 1
GCD(960, 397, 583, 750) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 397, 583, 750 is 1
GCD(960, 397, 583, 750) = 1
Given Input numbers are 960, 397, 583, 750
To find the GCD of numbers using factoring list out all the divisors of each number
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 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Greatest Common Divisior
We found the divisors of 960, 397, 583, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 397, 583, 750 is 1.
Therefore, GCD of numbers 960, 397, 583, 750 is 1
Given Input Data is 960, 397, 583, 750
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 397 is 397
Prime Factorization of 583 is 11 x 53
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
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(960, 397) = 381120
GCD(960, 397) = ( 960 x 397 ) / 381120
GCD(960, 397) = 381120 / 381120
GCD(960, 397) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 583
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 583) = 583
GCD(1, 583) = ( 1 x 583 ) / 583
GCD(1, 583) = 583 / 583
GCD(1, 583) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 750) = 750
GCD(1, 750) = ( 1 x 750 ) / 750
GCD(1, 750) = 750 / 750
GCD(1, 750) = 1
GCD of 960, 397, 583, 750 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 397, 583, 750?
GCD of 960, 397, 583, 750 is 1
2. Where do I get the detailed procedure to find GCD of 960, 397, 583, 750?
You can find a detailed procedure to find GCD of 960, 397, 583, 750 on our page.
3. How to find GCD of 960, 397, 583, 750 on a calculator?
You can find the GCD of 960, 397, 583, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.