GCD of 144, 469, 40 Calculator

Given Input numbers are 144, 469, 40

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

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 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

GCD of numbers is the greatest common divisor

So, the GCD (144, 469, 40) = 1.

Given numbers are 144, 469, 40

The list of prime factors of all numbers are

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

Prime factors of 469 are 7 x 67

Prime factors of 40 are 2 x 2 x 2 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 144, 469, 40

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

Apply this formula for all numbers.

Step1:

LCM(144, 469) = 67536

GCD(144, 469) = ( 144 x 469 ) / 67536

= 144 / 469

= 144

Step2:

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

= 1 / 40

= 1

So, Greatest Common Divisor of 144, 469, 40 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 777, 72
• GCD of 183, 322, 15
• GCD of 497, 968, 57
• GCD of 326, 634, 94
• GCD of 522, 663, 56

Given numbers are 144, 469, 40
The greatest common divisor of numbers 144, 469, 40 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 469, 40 is 1.

1. What is the GCD of 144, 469, 40?

GCD of given numbers 144, 469, 40 is 1

2. How to calculate the greatest common divisor of 144, 469, 40?

We can find the highest common divisor of 144, 469, 40 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 144, 469, 40 i.e 1.

3. How can I use the GCD of 144, 469, 40Calculator?

Out the numbers 144, 469, 40 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.