GCD of 254, 313, 636, 420 Calculator

Given Input numbers are 254, 313, 636, 420

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 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 254, 313, 636, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 313, 636, 420 is 1.

Therefore, GCD of numbers 254, 313, 636, 420 is 1

Given Input Data is 254, 313, 636, 420

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 313 is 313

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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, 313) = 79502

GCD(254, 313) = ( 254 x 313 ) / 79502

GCD(254, 313) = 79502 / 79502

GCD(254, 313) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 254, 313, 636, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 174, 171, 769
• GCD of 781, 870, 141, 430
• GCD of 517, 512, 290, 177
• GCD of 624, 386, 289, 903
• GCD of 365, 414, 940, 558

1. What is the GCD of 254, 313, 636, 420?

GCD of 254, 313, 636, 420 is 1

2. Where do I get the detailed procedure to find GCD of 254, 313, 636, 420?

You can find a detailed procedure to find GCD of 254, 313, 636, 420 on our page.

3. How to find GCD of 254, 313, 636, 420 on a calculator?

You can find the GCD of 254, 313, 636, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.