Online GCD Calculator is useful to find the GCD of 564, 276, 524 quickly. Get the easiest ways to solve the greatest common divisor of 564, 276, 524 i.e 4 in different methods as follows.
Given Input numbers are 564, 276, 524
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
GCD of numbers is the greatest common divisor
So, the GCD (564, 276, 524) = 4.
Given numbers are 564, 276, 524
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 524 are 2 x 2 x 131
The highest common occurrence is 22
Therefore, GCD of 564, 276, 524 is 4.
Given numbers are 564, 276, 524
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 276) = 12972
GCD(564, 276) = ( 564 x 276 ) / 12972
= 564 / 276
= 564
Step2:
LCM(12, 524) = 1572
GCD(12, 524) = ( 12 x 524 ) / 1572
= 12 / 524
= 12
So, Greatest Common Divisor of 564, 276, 524 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 276, 524
The greatest common divisor of numbers 564, 276, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 276, 524 is 4.
1. What is the GCD of 564, 276, 524?
GCD of given numbers 564, 276, 524 is 4
2. How to calculate the greatest common divisor of 564, 276, 524?
We can find the highest common divisor of 564, 276, 524 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 564, 276, 524 i.e 4.
3. How can I use the GCD of 564, 276, 524Calculator?
Out the numbers 564, 276, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.