Online GCD Calculator is useful to find the GCD of 564, 786, 874, 164 quickly. Get the easiest ways to solve the greatest common divisor of 564, 786, 874, 164 i.e 2 in different methods as follows.
Given Input numbers are 564, 786, 874, 164
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 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (564, 786, 874, 164) = 2.
Given numbers are 564, 786, 874, 164
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 786 are 2 x 3 x 131
Prime factors of 874 are 2 x 19 x 23
Prime factors of 164 are 2 x 2 x 41
The highest common occurrence is 21
Therefore, GCD of 564, 786, 874, 164 is 2.
Given numbers are 564, 786, 874, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 786) = 73884
GCD(564, 786) = ( 564 x 786 ) / 73884
= 564 / 786
= 564
Step2:
LCM(6, 874) = 2622
GCD(6, 874) = ( 6 x 874 ) / 2622
= 6 / 874
= 6
Step3:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
So, Greatest Common Divisor of 564, 786, 874, 164 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 786, 874, 164
The greatest common divisor of numbers 564, 786, 874, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 786, 874, 164 is 2.
1. What is the GCD of 564, 786, 874, 164?
GCD of given numbers 564, 786, 874, 164 is 2
2. How to calculate the greatest common divisor of 564, 786, 874, 164?
We can find the highest common divisor of 564, 786, 874, 164 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, 786, 874, 164 i.e 2.
3. How can I use the GCD of 564, 786, 874, 164Calculator?
Out the numbers 564, 786, 874, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.