GCD of 476, 150, 42, 432 Calculator

Given Input numbers are 476, 150, 42, 432

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

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

GCD of numbers is the greatest common divisor

So, the GCD (476, 150, 42, 432) = 2.

Given numbers are 476, 150, 42, 432

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 42 are 2 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 476, 150, 42, 432 is 2.

Given numbers are 476, 150, 42, 432

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

Apply this formula for all numbers.

Step1:

LCM(476, 150) = 35700

GCD(476, 150) = ( 476 x 150 ) / 35700

= 476 / 150

= 476

Step2:

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2

Step3:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2

So, Greatest Common Divisor of 476, 150, 42, 432 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 668, 22, 698
• GCD of 130, 804, 96, 534
• GCD of 820, 265, 26, 745
• GCD of 124, 512, 71, 464
• GCD of 755, 404, 60, 102

Given numbers are 476, 150, 42, 432
The greatest common divisor of numbers 476, 150, 42, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 150, 42, 432 is 2.

1. What is the GCD of 476, 150, 42, 432?

GCD of given numbers 476, 150, 42, 432 is 2

2. How to calculate the greatest common divisor of 476, 150, 42, 432?

We can find the highest common divisor of 476, 150, 42, 432 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 476, 150, 42, 432 i.e 2.

3. How can I use the GCD of 476, 150, 42, 432Calculator?

Out the numbers 476, 150, 42, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.