GCD of 72, 525, 458, 426 Calculator

Given Input numbers are 72, 525, 458, 426

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 458

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

1, 2, 229, 458

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 72, 525, 458, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 525, 458, 426 is 1.

Therefore, GCD of numbers 72, 525, 458, 426 is 1

Given Input Data is 72, 525, 458, 426

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 458 is 2 x 229

Prime Factorization of 426 is 2 x 3 x 71

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(72, 525) = 12600

GCD(72, 525) = ( 72 x 525 ) / 12600

GCD(72, 525) = 37800 / 12600

GCD(72, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 458

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

LCM(3, 458) = 1374

GCD(3, 458) = ( 3 x 458 ) / 1374

GCD(3, 458) = 1374 / 1374

GCD(3, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

GCD of 72, 525, 458, 426 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 545, 160, 726
• GCD of 45, 914, 108, 998
• GCD of 45, 320, 359, 209
• GCD of 61, 850, 274, 674
• GCD of 99, 312, 807, 849

1. What is the GCD of 72, 525, 458, 426?

GCD of 72, 525, 458, 426 is 1

2. Where do I get the detailed procedure to find GCD of 72, 525, 458, 426?

You can find a detailed procedure to find GCD of 72, 525, 458, 426 on our page.

3. How to find GCD of 72, 525, 458, 426 on a calculator?

You can find the GCD of 72, 525, 458, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.