GCD of 23, 480, 974, 724 Calculator

Given Input numbers are 23, 480, 974, 724

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 23, 480, 974, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 480, 974, 724 is 1.

Therefore, GCD of numbers 23, 480, 974, 724 is 1

Given Input Data is 23, 480, 974, 724

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

Prime Factorization of 23 is 23

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 974 is 2 x 487

Prime Factorization of 724 is 2 x 2 x 181

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(23, 480) = 11040

GCD(23, 480) = ( 23 x 480 ) / 11040

GCD(23, 480) = 11040 / 11040

GCD(23, 480) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 23, 480, 974, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 809, 881, 147
• GCD of 34, 846, 590, 977
• GCD of 11, 399, 129, 181
• GCD of 80, 406, 453, 384
• GCD of 79, 405, 217, 684

1. What is the GCD of 23, 480, 974, 724?

GCD of 23, 480, 974, 724 is 1

2. Where do I get the detailed procedure to find GCD of 23, 480, 974, 724?

You can find a detailed procedure to find GCD of 23, 480, 974, 724 on our page.

3. How to find GCD of 23, 480, 974, 724 on a calculator?

You can find the GCD of 23, 480, 974, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.