GCD of 398, 788, 364, 144 Calculator

Given Input numbers are 398, 788, 364, 144

In the factoring method, we have to find the divisors of all numbers

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (398, 788, 364, 144) = 2.

Given numbers are 398, 788, 364, 144

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 788 are 2 x 2 x 197

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 398, 788, 364, 144 is 2.

Given numbers are 398, 788, 364, 144

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(398, 788) = 156812

GCD(398, 788) = ( 398 x 788 ) / 156812

= 398 / 788

= 398

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

So, Greatest Common Divisor of 398, 788, 364, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 790, 733, 349
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Given numbers are 398, 788, 364, 144
The greatest common divisor of numbers 398, 788, 364, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 788, 364, 144 is 2.

1. What is the GCD of 398, 788, 364, 144?

GCD of given numbers 398, 788, 364, 144 is 2

2. How to calculate the greatest common divisor of 398, 788, 364, 144?

We can find the highest common divisor of 398, 788, 364, 144 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 398, 788, 364, 144 i.e 2.

3. How can I use the GCD of 398, 788, 364, 144Calculator?

Out the numbers 398, 788, 364, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.