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 778, 540, 42, 564 i.e. 2 largest integer that divides all the numbers equally.
GCD of 778, 540, 42, 564 is 2
GCD(778, 540, 42, 564) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 778, 540, 42, 564 is 2
GCD(778, 540, 42, 564) = 2
Given Input numbers are 778, 540, 42, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
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
Greatest Common Divisior
We found the divisors of 778, 540, 42, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 540, 42, 564 is 2.
Therefore, GCD of numbers 778, 540, 42, 564 is 2
Given Input Data is 778, 540, 42, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 778 is 2 x 389
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(778, 540) = 210060
GCD(778, 540) = ( 778 x 540 ) / 210060
GCD(778, 540) = 420120 / 210060
GCD(778, 540) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
GCD(2, 42) = 84 / 42
GCD(2, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
GCD(2, 564) = 1128 / 564
GCD(2, 564) = 2
GCD of 778, 540, 42, 564 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 778, 540, 42, 564?
GCD of 778, 540, 42, 564 is 2
2. Where do I get the detailed procedure to find GCD of 778, 540, 42, 564?
You can find a detailed procedure to find GCD of 778, 540, 42, 564 on our page.
3. How to find GCD of 778, 540, 42, 564 on a calculator?
You can find the GCD of 778, 540, 42, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.