GCD of 820, 428, 629, 495 Calculator

Given Input numbers are 820, 428, 629, 495

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 820, 428, 629, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 428, 629, 495 is 1.

Therefore, GCD of numbers 820, 428, 629, 495 is 1

Given Input Data is 820, 428, 629, 495

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 629 is 17 x 37

Prime Factorization of 495 is 3 x 3 x 5 x 11

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(820, 428) = 87740

GCD(820, 428) = ( 820 x 428 ) / 87740

GCD(820, 428) = 350960 / 87740

GCD(820, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 629

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

LCM(4, 629) = 2516

GCD(4, 629) = ( 4 x 629 ) / 2516

GCD(4, 629) = 2516 / 2516

GCD(4, 629) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

GCD of 820, 428, 629, 495 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 436, 666, 285
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• GCD of 344, 121, 402, 726
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• GCD of 282, 783, 977, 144

1. What is the GCD of 820, 428, 629, 495?

GCD of 820, 428, 629, 495 is 1

2. Where do I get the detailed procedure to find GCD of 820, 428, 629, 495?

You can find a detailed procedure to find GCD of 820, 428, 629, 495 on our page.

3. How to find GCD of 820, 428, 629, 495 on a calculator?

You can find the GCD of 820, 428, 629, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.