Online GCD Calculator is useful to find the GCD of 546, 728, 828, 564 quickly. Get the easiest ways to solve the greatest common divisor of 546, 728, 828, 564 i.e 2 in different methods as follows.
Given Input numbers are 546, 728, 828, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
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
GCD of numbers is the greatest common divisor
So, the GCD (546, 728, 828, 564) = 2.
Given numbers are 546, 728, 828, 564
The list of prime factors of all numbers are
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 21
Therefore, GCD of 546, 728, 828, 564 is 2.
Given numbers are 546, 728, 828, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(546, 728) = 2184
GCD(546, 728) = ( 546 x 728 ) / 2184
= 546 / 728
= 546
Step2:
LCM(182, 828) = 75348
GCD(182, 828) = ( 182 x 828 ) / 75348
= 182 / 828
= 182
Step3:
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
= 2 / 564
= 2
So, Greatest Common Divisor of 546, 728, 828, 564 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 546, 728, 828, 564
The greatest common divisor of numbers 546, 728, 828, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 728, 828, 564 is 2.
1. What is the GCD of 546, 728, 828, 564?
GCD of given numbers 546, 728, 828, 564 is 2
2. How to calculate the greatest common divisor of 546, 728, 828, 564?
We can find the highest common divisor of 546, 728, 828, 564 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 546, 728, 828, 564 i.e 2.
3. How can I use the GCD of 546, 728, 828, 564Calculator?
Out the numbers 546, 728, 828, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.