GCD of 653, 828, 55, 636 Calculator

Given Input numbers are 653, 828, 55, 636

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 653, 828, 55, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 828, 55, 636 is 1.

Therefore, GCD of numbers 653, 828, 55, 636 is 1

Given Input Data is 653, 828, 55, 636

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

Prime Factorization of 653 is 653

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 55 is 5 x 11

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(653, 828) = 540684

GCD(653, 828) = ( 653 x 828 ) / 540684

GCD(653, 828) = 540684 / 540684

GCD(653, 828) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 1

GCD of 653, 828, 55, 636 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 455, 77, 610
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• GCD of 978, 432, 48, 695
• GCD of 987, 503, 62, 673
• GCD of 270, 148, 17, 718

1. What is the GCD of 653, 828, 55, 636?

GCD of 653, 828, 55, 636 is 1

2. Where do I get the detailed procedure to find GCD of 653, 828, 55, 636?

You can find a detailed procedure to find GCD of 653, 828, 55, 636 on our page.

3. How to find GCD of 653, 828, 55, 636 on a calculator?

You can find the GCD of 653, 828, 55, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.