GCD of 897, 458, 72, 144 Calculator

Given Input numbers are 897, 458, 72, 144

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

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 458

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

1, 2, 229, 458

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 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 897, 458, 72, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 458, 72, 144 is 1.

Therefore, GCD of numbers 897, 458, 72, 144 is 1

Given Input Data is 897, 458, 72, 144

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

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 458 is 2 x 229

Prime Factorization of 72 is 2 x 2 x 2 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(897, 458) = 410826

GCD(897, 458) = ( 897 x 458 ) / 410826

GCD(897, 458) = 410826 / 410826

GCD(897, 458) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 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 897, 458, 72, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 598, 12, 327
• GCD of 747, 987, 82, 498
• GCD of 302, 214, 36, 491
• GCD of 665, 482, 36, 762
• GCD of 899, 145, 24, 893

1. What is the GCD of 897, 458, 72, 144?

GCD of 897, 458, 72, 144 is 1

2. Where do I get the detailed procedure to find GCD of 897, 458, 72, 144?

You can find a detailed procedure to find GCD of 897, 458, 72, 144 on our page.

3. How to find GCD of 897, 458, 72, 144 on a calculator?

You can find the GCD of 897, 458, 72, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.