GCD of 463, 402, 54, 144 Calculator

Given Input numbers are 463, 402, 54, 144

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 463, 402, 54, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 402, 54, 144 is 1.

Therefore, GCD of numbers 463, 402, 54, 144 is 1

Given Input Data is 463, 402, 54, 144

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 463 is 463

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(463, 402) = 186126

GCD(463, 402) = ( 463 x 402 ) / 186126

GCD(463, 402) = 186126 / 186126

GCD(463, 402) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 463, 402, 54, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 333, 60, 761
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• GCD of 655, 684, 68, 849

1. What is the GCD of 463, 402, 54, 144?

GCD of 463, 402, 54, 144 is 1

2. Where do I get the detailed procedure to find GCD of 463, 402, 54, 144?

You can find a detailed procedure to find GCD of 463, 402, 54, 144 on our page.

3. How to find GCD of 463, 402, 54, 144 on a calculator?

You can find the GCD of 463, 402, 54, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.