GCD of 427, 301, 77, 487 Calculator

Given Input numbers are 427, 301, 77, 487

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Greatest Common Divisior

We found the divisors of 427, 301, 77, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 301, 77, 487 is 1.

Therefore, GCD of numbers 427, 301, 77, 487 is 1

Given Input Data is 427, 301, 77, 487

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 301 is 7 x 43

Prime Factorization of 77 is 7 x 11

Prime Factorization of 487 is 487

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(427, 301) = 18361

GCD(427, 301) = ( 427 x 301 ) / 18361

GCD(427, 301) = 128527 / 18361

GCD(427, 301) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 77

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

LCM(7, 77) = 77

GCD(7, 77) = ( 7 x 77 ) / 77

GCD(7, 77) = 539 / 77

GCD(7, 77) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 487

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

LCM(7, 487) = 3409

GCD(7, 487) = ( 7 x 487 ) / 3409

GCD(7, 487) = 3409 / 3409

GCD(7, 487) = 1

GCD of 427, 301, 77, 487 is 1

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1. What is the GCD of 427, 301, 77, 487?

GCD of 427, 301, 77, 487 is 1

2. Where do I get the detailed procedure to find GCD of 427, 301, 77, 487?

You can find a detailed procedure to find GCD of 427, 301, 77, 487 on our page.

3. How to find GCD of 427, 301, 77, 487 on a calculator?

You can find the GCD of 427, 301, 77, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.