GCD of 54, 775, 398, 162 Calculator

Given Input numbers are 54, 775, 398, 162

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 54, 775, 398, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 775, 398, 162 is 1.

Therefore, GCD of numbers 54, 775, 398, 162 is 1

Given Input Data is 54, 775, 398, 162

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 398 is 2 x 199

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(54, 775) = 41850

GCD(54, 775) = ( 54 x 775 ) / 41850

GCD(54, 775) = 41850 / 41850

GCD(54, 775) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 54, 775, 398, 162 is 1

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• GCD of 50, 302, 513, 453
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• GCD of 78, 178, 308, 985

1. What is the GCD of 54, 775, 398, 162?

GCD of 54, 775, 398, 162 is 1

2. Where do I get the detailed procedure to find GCD of 54, 775, 398, 162?

You can find a detailed procedure to find GCD of 54, 775, 398, 162 on our page.

3. How to find GCD of 54, 775, 398, 162 on a calculator?

You can find the GCD of 54, 775, 398, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.