GCD of 800, 472, 61, 509 Calculator

Given Input numbers are 800, 472, 61, 509

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 800, 472, 61, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 472, 61, 509 is 1.

Therefore, GCD of numbers 800, 472, 61, 509 is 1

Given Input Data is 800, 472, 61, 509

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 61 is 61

Prime Factorization of 509 is 509

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(800, 472) = 47200

GCD(800, 472) = ( 800 x 472 ) / 47200

GCD(800, 472) = 377600 / 47200

GCD(800, 472) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 61

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

LCM(8, 61) = 488

GCD(8, 61) = ( 8 x 61 ) / 488

GCD(8, 61) = 488 / 488

GCD(8, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 800, 472, 61, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 328, 39, 618
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• GCD of 744, 397, 10, 333
• GCD of 639, 140, 72, 362
• GCD of 951, 563, 82, 142

1. What is the GCD of 800, 472, 61, 509?

GCD of 800, 472, 61, 509 is 1

2. Where do I get the detailed procedure to find GCD of 800, 472, 61, 509?

You can find a detailed procedure to find GCD of 800, 472, 61, 509 on our page.

3. How to find GCD of 800, 472, 61, 509 on a calculator?

You can find the GCD of 800, 472, 61, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.