GCD of 144, 458, 79, 529 Calculator

Given Input numbers are 144, 458, 79, 529

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

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 144, 458, 79, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 458, 79, 529 is 1.

Therefore, GCD of numbers 144, 458, 79, 529 is 1

Given Input Data is 144, 458, 79, 529

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

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 79 is 79

Prime Factorization of 529 is 23 x 23

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(144, 458) = 32976

GCD(144, 458) = ( 144 x 458 ) / 32976

GCD(144, 458) = 65952 / 32976

GCD(144, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 144, 458, 79, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 605, 46, 348
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• GCD of 318, 312, 81, 718
• GCD of 489, 777, 80, 445
• GCD of 402, 813, 24, 958

1. What is the GCD of 144, 458, 79, 529?

GCD of 144, 458, 79, 529 is 1

2. Where do I get the detailed procedure to find GCD of 144, 458, 79, 529?

You can find a detailed procedure to find GCD of 144, 458, 79, 529 on our page.

3. How to find GCD of 144, 458, 79, 529 on a calculator?

You can find the GCD of 144, 458, 79, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.