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, 738, 80, 412 i.e. 1 largest integer that divides all the numbers equally.
GCD of 533, 738, 80, 412 is 1
GCD(533, 738, 80, 412) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 533, 738, 80, 412 is 1
GCD(533, 738, 80, 412) = 1
Given Input numbers are 533, 738, 80, 412
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 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 533, 738, 80, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 738, 80, 412 is 1.
Therefore, GCD of numbers 533, 738, 80, 412 is 1
Given Input Data is 533, 738, 80, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 533 is 13 x 41
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 412 is 2 x 2 x 103
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, 738) = 9594
GCD(533, 738) = ( 533 x 738 ) / 9594
GCD(533, 738) = 393354 / 9594
GCD(533, 738) = 41
Step2:
Here we consider the GCD from the above i.e. 41 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(41, 80) = 3280
GCD(41, 80) = ( 41 x 80 ) / 3280
GCD(41, 80) = 3280 / 3280
GCD(41, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
GCD of 533, 738, 80, 412 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 533, 738, 80, 412?
GCD of 533, 738, 80, 412 is 1
2. Where do I get the detailed procedure to find GCD of 533, 738, 80, 412?
You can find a detailed procedure to find GCD of 533, 738, 80, 412 on our page.
3. How to find GCD of 533, 738, 80, 412 on a calculator?
You can find the GCD of 533, 738, 80, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.