GCD of 87, 319, 477, 337 Calculator

Given Input numbers are 87, 319, 477, 337

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Greatest Common Divisior

We found the divisors of 87, 319, 477, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 319, 477, 337 is 1.

Therefore, GCD of numbers 87, 319, 477, 337 is 1

Given Input Data is 87, 319, 477, 337

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 319 is 11 x 29

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 337 is 337

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(87, 319) = 957

GCD(87, 319) = ( 87 x 319 ) / 957

GCD(87, 319) = 27753 / 957

GCD(87, 319) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 477

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

LCM(29, 477) = 13833

GCD(29, 477) = ( 29 x 477 ) / 13833

GCD(29, 477) = 13833 / 13833

GCD(29, 477) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 337

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

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

GCD(1, 337) = 337 / 337

GCD(1, 337) = 1

GCD of 87, 319, 477, 337 is 1

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1. What is the GCD of 87, 319, 477, 337?

GCD of 87, 319, 477, 337 is 1

2. Where do I get the detailed procedure to find GCD of 87, 319, 477, 337?

You can find a detailed procedure to find GCD of 87, 319, 477, 337 on our page.

3. How to find GCD of 87, 319, 477, 337 on a calculator?

You can find the GCD of 87, 319, 477, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.