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 564, 548, 40, 798 i.e. 2 largest integer that divides all the numbers equally.
GCD of 564, 548, 40, 798 is 2
GCD(564, 548, 40, 798) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 564, 548, 40, 798 is 2
GCD(564, 548, 40, 798) = 2
Given Input numbers are 564, 548, 40, 798
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 564, 548, 40, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 548, 40, 798 is 2.
Therefore, GCD of numbers 564, 548, 40, 798 is 2
Given Input Data is 564, 548, 40, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 798 is 2 x 3 x 7 x 19
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(564, 548) = 77268
GCD(564, 548) = ( 564 x 548 ) / 77268
GCD(564, 548) = 309072 / 77268
GCD(564, 548) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 40) = 40
GCD(4, 40) = ( 4 x 40 ) / 40
GCD(4, 40) = 160 / 40
GCD(4, 40) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 798) = 1596
GCD(4, 798) = ( 4 x 798 ) / 1596
GCD(4, 798) = 3192 / 1596
GCD(4, 798) = 2
GCD of 564, 548, 40, 798 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 564, 548, 40, 798?
GCD of 564, 548, 40, 798 is 2
2. Where do I get the detailed procedure to find GCD of 564, 548, 40, 798?
You can find a detailed procedure to find GCD of 564, 548, 40, 798 on our page.
3. How to find GCD of 564, 548, 40, 798 on a calculator?
You can find the GCD of 564, 548, 40, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.