GCD of 400, 809, 761, 724 Calculator

Given Input numbers are 400, 809, 761, 724

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

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 400, 809, 761, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 809, 761, 724 is 1.

Therefore, GCD of numbers 400, 809, 761, 724 is 1

Given Input Data is 400, 809, 761, 724

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 809 is 809

Prime Factorization of 761 is 761

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(400, 809) = 323600

GCD(400, 809) = ( 400 x 809 ) / 323600

GCD(400, 809) = 323600 / 323600

GCD(400, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 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 400, 809, 761, 724 is 1

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• GCD of 123, 124, 589, 997
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1. What is the GCD of 400, 809, 761, 724?

GCD of 400, 809, 761, 724 is 1

2. Where do I get the detailed procedure to find GCD of 400, 809, 761, 724?

You can find a detailed procedure to find GCD of 400, 809, 761, 724 on our page.

3. How to find GCD of 400, 809, 761, 724 on a calculator?

You can find the GCD of 400, 809, 761, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.