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 533, 689, 578, 953 i.e. 1 largest integer that divides all the numbers equally.
GCD of 533, 689, 578, 953 is 1
GCD(533, 689, 578, 953) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 533, 689, 578, 953 is 1
GCD(533, 689, 578, 953) = 1
Given Input numbers are 533, 689, 578, 953
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Greatest Common Divisior
We found the divisors of 533, 689, 578, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 689, 578, 953 is 1.
Therefore, GCD of numbers 533, 689, 578, 953 is 1
Given Input Data is 533, 689, 578, 953
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 533 is 13 x 41
Prime Factorization of 689 is 13 x 53
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 953 is 953
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(533, 689) = 28249
GCD(533, 689) = ( 533 x 689 ) / 28249
GCD(533, 689) = 367237 / 28249
GCD(533, 689) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 578
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 578) = 7514
GCD(13, 578) = ( 13 x 578 ) / 7514
GCD(13, 578) = 7514 / 7514
GCD(13, 578) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 953
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 953) = 953
GCD(1, 953) = ( 1 x 953 ) / 953
GCD(1, 953) = 953 / 953
GCD(1, 953) = 1
GCD of 533, 689, 578, 953 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 533, 689, 578, 953?
GCD of 533, 689, 578, 953 is 1
2. Where do I get the detailed procedure to find GCD of 533, 689, 578, 953?
You can find a detailed procedure to find GCD of 533, 689, 578, 953 on our page.
3. How to find GCD of 533, 689, 578, 953 on a calculator?
You can find the GCD of 533, 689, 578, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.