Online GCD Calculator is useful to find the GCD of 136, 564, 786, 556 quickly. Get the easiest ways to solve the greatest common divisor of 136, 564, 786, 556 i.e 2 in different methods as follows.
Given Input numbers are 136, 564, 786, 556
In the factoring method, we have to find the divisors of all numbers
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
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 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
GCD of numbers is the greatest common divisor
So, the GCD (136, 564, 786, 556) = 2.
Given numbers are 136, 564, 786, 556
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
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 556 are 2 x 2 x 139
The highest common occurrence is 21
Therefore, GCD of 136, 564, 786, 556 is 2.
Given numbers are 136, 564, 786, 556
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 564) = 19176
GCD(136, 564) = ( 136 x 564 ) / 19176
= 136 / 564
= 136
Step2:
LCM(4, 786) = 1572
GCD(4, 786) = ( 4 x 786 ) / 1572
= 4 / 786
= 4
Step3:
LCM(2, 556) = 556
GCD(2, 556) = ( 2 x 556 ) / 556
= 2 / 556
= 2
So, Greatest Common Divisor of 136, 564, 786, 556 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 564, 786, 556
The greatest common divisor of numbers 136, 564, 786, 556 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 564, 786, 556 is 2.
1. What is the GCD of 136, 564, 786, 556?
GCD of given numbers 136, 564, 786, 556 is 2
2. How to calculate the greatest common divisor of 136, 564, 786, 556?
We can find the highest common divisor of 136, 564, 786, 556 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 136, 564, 786, 556 i.e 2.
3. How can I use the GCD of 136, 564, 786, 556Calculator?
Out the numbers 136, 564, 786, 556 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.