GCD of 278, 423, 99, 477 Calculator

Given Input numbers are 278, 423, 99, 477

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 477

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

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 278, 423, 99, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 423, 99, 477 is 1.

Therefore, GCD of numbers 278, 423, 99, 477 is 1

Given Input Data is 278, 423, 99, 477

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 477 is 3 x 3 x 53

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(278, 423) = 117594

GCD(278, 423) = ( 278 x 423 ) / 117594

GCD(278, 423) = 117594 / 117594

GCD(278, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

GCD of 278, 423, 99, 477 is 1

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1. What is the GCD of 278, 423, 99, 477?

GCD of 278, 423, 99, 477 is 1

2. Where do I get the detailed procedure to find GCD of 278, 423, 99, 477?

You can find a detailed procedure to find GCD of 278, 423, 99, 477 on our page.

3. How to find GCD of 278, 423, 99, 477 on a calculator?

You can find the GCD of 278, 423, 99, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.