GCD of 254, 628, 36, 497 Calculator

Given Input numbers are 254, 628, 36, 497

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 254, 628, 36, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 628, 36, 497 is 1.

Therefore, GCD of numbers 254, 628, 36, 497 is 1

Given Input Data is 254, 628, 36, 497

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 497 is 7 x 71

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(254, 628) = 79756

GCD(254, 628) = ( 254 x 628 ) / 79756

GCD(254, 628) = 159512 / 79756

GCD(254, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 497

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

LCM(2, 497) = 994

GCD(2, 497) = ( 2 x 497 ) / 994

GCD(2, 497) = 994 / 994

GCD(2, 497) = 1

GCD of 254, 628, 36, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 600, 11, 895
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• GCD of 333, 537, 74, 182
• GCD of 117, 564, 91, 475
• GCD of 975, 545, 96, 140

1. What is the GCD of 254, 628, 36, 497?

GCD of 254, 628, 36, 497 is 1

2. Where do I get the detailed procedure to find GCD of 254, 628, 36, 497?

You can find a detailed procedure to find GCD of 254, 628, 36, 497 on our page.

3. How to find GCD of 254, 628, 36, 497 on a calculator?

You can find the GCD of 254, 628, 36, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.