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 757, 897, 728, 533 i.e. 1 largest integer that divides all the numbers equally.
GCD of 757, 897, 728, 533 is 1
GCD(757, 897, 728, 533) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 757, 897, 728, 533 is 1
GCD(757, 897, 728, 533) = 1
Given Input numbers are 757, 897, 728, 533
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Greatest Common Divisior
We found the divisors of 757, 897, 728, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 897, 728, 533 is 1.
Therefore, GCD of numbers 757, 897, 728, 533 is 1
Given Input Data is 757, 897, 728, 533
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 757 is 757
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 533 is 13 x 41
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(757, 897) = 679029
GCD(757, 897) = ( 757 x 897 ) / 679029
GCD(757, 897) = 679029 / 679029
GCD(757, 897) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
GCD(1, 533) = 533 / 533
GCD(1, 533) = 1
GCD of 757, 897, 728, 533 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 757, 897, 728, 533?
GCD of 757, 897, 728, 533 is 1
2. Where do I get the detailed procedure to find GCD of 757, 897, 728, 533?
You can find a detailed procedure to find GCD of 757, 897, 728, 533 on our page.
3. How to find GCD of 757, 897, 728, 533 on a calculator?
You can find the GCD of 757, 897, 728, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.