Online GCD Calculator is useful to find the GCD of 636, 538, 156, 784 quickly. Get the easiest ways to solve the greatest common divisor of 636, 538, 156, 784 i.e 2 in different methods as follows.
Given Input numbers are 636, 538, 156, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (636, 538, 156, 784) = 2.
Given numbers are 636, 538, 156, 784
The list of prime factors of all numbers are
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 538 are 2 x 269
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 636, 538, 156, 784 is 2.
Given numbers are 636, 538, 156, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(636, 538) = 171084
GCD(636, 538) = ( 636 x 538 ) / 171084
= 636 / 538
= 636
Step2:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
Step3:
LCM(2, 784) = 784
GCD(2, 784) = ( 2 x 784 ) / 784
= 2 / 784
= 2
So, Greatest Common Divisor of 636, 538, 156, 784 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 636, 538, 156, 784
The greatest common divisor of numbers 636, 538, 156, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 538, 156, 784 is 2.
1. What is the GCD of 636, 538, 156, 784?
GCD of given numbers 636, 538, 156, 784 is 2
2. How to calculate the greatest common divisor of 636, 538, 156, 784?
We can find the highest common divisor of 636, 538, 156, 784 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 636, 538, 156, 784 i.e 2.
3. How can I use the GCD of 636, 538, 156, 784Calculator?
Out the numbers 636, 538, 156, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.