GCD of 463, 407, 724, 120 Calculator

Given Input numbers are 463, 407, 724, 120

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 463, 407, 724, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 407, 724, 120 is 1.

Therefore, GCD of numbers 463, 407, 724, 120 is 1

Given Input Data is 463, 407, 724, 120

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

Prime Factorization of 463 is 463

Prime Factorization of 407 is 11 x 37

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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, 407) = 188441

GCD(463, 407) = ( 463 x 407 ) / 188441

GCD(463, 407) = 188441 / 188441

GCD(463, 407) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 463, 407, 724, 120 is 1

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• GCD of 798, 236, 506, 774
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• GCD of 227, 114, 949, 771

1. What is the GCD of 463, 407, 724, 120?

GCD of 463, 407, 724, 120 is 1

2. Where do I get the detailed procedure to find GCD of 463, 407, 724, 120?

You can find a detailed procedure to find GCD of 463, 407, 724, 120 on our page.

3. How to find GCD of 463, 407, 724, 120 on a calculator?

You can find the GCD of 463, 407, 724, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.