Online GCD Calculator is useful to find the GCD of 588, 944, 400, 162 quickly. Get the easiest ways to solve the greatest common divisor of 588, 944, 400, 162 i.e 2 in different methods as follows.
Given Input numbers are 588, 944, 400, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 944 :
The positive integer divisors of 944 that completely divides 944 are.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (588, 944, 400, 162) = 2.
Given numbers are 588, 944, 400, 162
The list of prime factors of all numbers are
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 588, 944, 400, 162 is 2.
Given numbers are 588, 944, 400, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 944) = 138768
GCD(588, 944) = ( 588 x 944 ) / 138768
= 588 / 944
= 588
Step2:
LCM(4, 400) = 400
GCD(4, 400) = ( 4 x 400 ) / 400
= 4 / 400
= 4
Step3:
LCM(4, 162) = 324
GCD(4, 162) = ( 4 x 162 ) / 324
= 4 / 162
= 4
So, Greatest Common Divisor of 588, 944, 400, 162 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 944, 400, 162
The greatest common divisor of numbers 588, 944, 400, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 944, 400, 162 is 2.
1. What is the GCD of 588, 944, 400, 162?
GCD of given numbers 588, 944, 400, 162 is 2
2. How to calculate the greatest common divisor of 588, 944, 400, 162?
We can find the highest common divisor of 588, 944, 400, 162 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 588, 944, 400, 162 i.e 2.
3. How can I use the GCD of 588, 944, 400, 162Calculator?
Out the numbers 588, 944, 400, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.