GCD of 510, 920, 59, 900 Calculator

Given Input numbers are 510, 920, 59, 900

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 510, 920, 59, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 920, 59, 900 is 1.

Therefore, GCD of numbers 510, 920, 59, 900 is 1

Given Input Data is 510, 920, 59, 900

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 59 is 59

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 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(510, 920) = 46920

GCD(510, 920) = ( 510 x 920 ) / 46920

GCD(510, 920) = 469200 / 46920

GCD(510, 920) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 59

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

LCM(10, 59) = 590

GCD(10, 59) = ( 10 x 59 ) / 590

GCD(10, 59) = 590 / 590

GCD(10, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 510, 920, 59, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 668, 821, 49, 141
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• GCD of 865, 890, 41, 342

1. What is the GCD of 510, 920, 59, 900?

GCD of 510, 920, 59, 900 is 1

2. Where do I get the detailed procedure to find GCD of 510, 920, 59, 900?

You can find a detailed procedure to find GCD of 510, 920, 59, 900 on our page.

3. How to find GCD of 510, 920, 59, 900 on a calculator?

You can find the GCD of 510, 920, 59, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.