GCD of 464, 144, 30, 400 Calculator

Given Input numbers are 464, 144, 30, 400

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (464, 144, 30, 400) = 2.

Given numbers are 464, 144, 30, 400

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

Prime factors of 30 are 2 x 3 x 5

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 464, 144, 30, 400 is 2.

Given numbers are 464, 144, 30, 400

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

Apply this formula for all numbers.

Step1:

LCM(464, 144) = 4176

GCD(464, 144) = ( 464 x 144 ) / 4176

= 464 / 144

= 464

Step2:

LCM(16, 30) = 240

GCD(16, 30) = ( 16 x 30 ) / 240

= 16 / 30

= 16

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 464, 144, 30, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 660, 84, 261
• GCD of 634, 719, 71, 807
• GCD of 470, 944, 47, 287
• GCD of 617, 521, 35, 726
• GCD of 595, 280, 89, 332

Given numbers are 464, 144, 30, 400
The greatest common divisor of numbers 464, 144, 30, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 144, 30, 400 is 2.

1. What is the GCD of 464, 144, 30, 400?

GCD of given numbers 464, 144, 30, 400 is 2

2. How to calculate the greatest common divisor of 464, 144, 30, 400?

We can find the highest common divisor of 464, 144, 30, 400 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 464, 144, 30, 400 i.e 2.

3. How can I use the GCD of 464, 144, 30, 400Calculator?

Out the numbers 464, 144, 30, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.