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, 878, 31, 782 i.e. 1 largest integer that divides all the numbers equally.
GCD of 533, 878, 31, 782 is 1
GCD(533, 878, 31, 782) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 533, 878, 31, 782 is 1
GCD(533, 878, 31, 782) = 1
Given Input numbers are 533, 878, 31, 782
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 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Greatest Common Divisior
We found the divisors of 533, 878, 31, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 878, 31, 782 is 1.
Therefore, GCD of numbers 533, 878, 31, 782 is 1
Given Input Data is 533, 878, 31, 782
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 533 is 13 x 41
Prime Factorization of 878 is 2 x 439
Prime Factorization of 31 is 31
Prime Factorization of 782 is 2 x 17 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(533, 878) = 467974
GCD(533, 878) = ( 533 x 878 ) / 467974
GCD(533, 878) = 467974 / 467974
GCD(533, 878) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
GCD of 533, 878, 31, 782 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 533, 878, 31, 782?
GCD of 533, 878, 31, 782 is 1
2. Where do I get the detailed procedure to find GCD of 533, 878, 31, 782?
You can find a detailed procedure to find GCD of 533, 878, 31, 782 on our page.
3. How to find GCD of 533, 878, 31, 782 on a calculator?
You can find the GCD of 533, 878, 31, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.