GCD of 604, 432, 144, 374 Calculator

Given Input numbers are 604, 432, 144, 374

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

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (604, 432, 144, 374) = 2.

Given numbers are 604, 432, 144, 374

The list of prime factors of all numbers are

Prime factors of 604 are 2 x 2 x 151

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 604, 432, 144, 374 is 2.

Given numbers are 604, 432, 144, 374

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

Apply this formula for all numbers.

Step1:

LCM(604, 432) = 65232

GCD(604, 432) = ( 604 x 432 ) / 65232

= 604 / 432

= 604

Step2:

LCM(4, 144) = 144

GCD(4, 144) = ( 4 x 144 ) / 144

= 4 / 144

= 4

Step3:

LCM(4, 374) = 748

GCD(4, 374) = ( 4 x 374 ) / 748

= 4 / 374

= 4

So, Greatest Common Divisor of 604, 432, 144, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 704, 282, 341
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• GCD of 914, 880, 704, 965

Given numbers are 604, 432, 144, 374
The greatest common divisor of numbers 604, 432, 144, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 604, 432, 144, 374 is 2.

1. What is the GCD of 604, 432, 144, 374?

GCD of given numbers 604, 432, 144, 374 is 2

2. How to calculate the greatest common divisor of 604, 432, 144, 374?

We can find the highest common divisor of 604, 432, 144, 374 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 604, 432, 144, 374 i.e 2.

3. How can I use the GCD of 604, 432, 144, 374Calculator?

Out the numbers 604, 432, 144, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.