GCD of 477, 557, 519, 149 Calculator

Given Input numbers are 477, 557, 519, 149

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

Divisors of 477

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

1, 3, 9, 53, 159, 477

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 477, 557, 519, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 557, 519, 149 is 1.

Therefore, GCD of numbers 477, 557, 519, 149 is 1

Given Input Data is 477, 557, 519, 149

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

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 557 is 557

Prime Factorization of 519 is 3 x 173

Prime Factorization of 149 is 149

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(477, 557) = 265689

GCD(477, 557) = ( 477 x 557 ) / 265689

GCD(477, 557) = 265689 / 265689

GCD(477, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 519

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

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

GCD(1, 519) = 519 / 519

GCD(1, 519) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 477, 557, 519, 149 is 1

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1. What is the GCD of 477, 557, 519, 149?

GCD of 477, 557, 519, 149 is 1

2. Where do I get the detailed procedure to find GCD of 477, 557, 519, 149?

You can find a detailed procedure to find GCD of 477, 557, 519, 149 on our page.

3. How to find GCD of 477, 557, 519, 149 on a calculator?

You can find the GCD of 477, 557, 519, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.