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GCD of 588, 944, 400, 162 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

GCD of

How to Find GCD of Numbers 588, 944, 400, 162 with Factoring?

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.

Find GCD of 588, 944, 400, 162 using Prime Factorization

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.

Steps to Calculate GCD of 588, 944, 400, 162 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 588, 944, 400, 162

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.

FAQs on GCD of 588, 944, 400, 162 Calculator

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.