GCD of 474, 404, 144 Calculator

Given Input numbers are 474, 404, 144

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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 (474, 404, 144) = 2.

Given numbers are 474, 404, 144

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 404 are 2 x 2 x 101

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 474, 404, 144 is 2.

Given numbers are 474, 404, 144

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

Apply this formula for all numbers.

Step1:

LCM(474, 404) = 95748

GCD(474, 404) = ( 474 x 404 ) / 95748

= 474 / 404

= 474

Step2:

LCM(2, 144) = 144

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

= 2 / 144

= 2

So, Greatest Common Divisor of 474, 404, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 135, 431
• GCD of 140, 793, 929
• GCD of 311, 492, 540
• GCD of 143, 121, 168
• GCD of 699, 372, 273

Given numbers are 474, 404, 144
The greatest common divisor of numbers 474, 404, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 404, 144 is 2.

1. What is the GCD of 474, 404, 144?

GCD of given numbers 474, 404, 144 is 2

2. How to calculate the greatest common divisor of 474, 404, 144?

We can find the highest common divisor of 474, 404, 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 474, 404, 144 i.e 2.

3. How can I use the GCD of 474, 404, 144Calculator?

Out the numbers 474, 404, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.