Online GCD Calculator is useful to find the GCD of 564, 844, 428, 548 quickly. Get the easiest ways to solve the greatest common divisor of 564, 844, 428, 548 i.e 4 in different methods as follows.
Given Input numbers are 564, 844, 428, 548
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 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (564, 844, 428, 548) = 4.
Given numbers are 564, 844, 428, 548
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 844 are 2 x 2 x 211
Prime factors of 428 are 2 x 2 x 107
Prime factors of 548 are 2 x 2 x 137
The highest common occurrence is 22
Therefore, GCD of 564, 844, 428, 548 is 4.
Given numbers are 564, 844, 428, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 844) = 119004
GCD(564, 844) = ( 564 x 844 ) / 119004
= 564 / 844
= 564
Step2:
LCM(4, 428) = 428
GCD(4, 428) = ( 4 x 428 ) / 428
= 4 / 428
= 4
Step3:
LCM(4, 548) = 548
GCD(4, 548) = ( 4 x 548 ) / 548
= 4 / 548
= 4
So, Greatest Common Divisor of 564, 844, 428, 548 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 844, 428, 548
The greatest common divisor of numbers 564, 844, 428, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 844, 428, 548 is 4.
1. What is the GCD of 564, 844, 428, 548?
GCD of given numbers 564, 844, 428, 548 is 4
2. How to calculate the greatest common divisor of 564, 844, 428, 548?
We can find the highest common divisor of 564, 844, 428, 548 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, 844, 428, 548 i.e 4.
3. How can I use the GCD of 564, 844, 428, 548Calculator?
Out the numbers 564, 844, 428, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.