GCD of 148, 104, 162, 821 Calculator

Given Input numbers are 148, 104, 162, 821

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 148, 104, 162, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 104, 162, 821 is 1.

Therefore, GCD of numbers 148, 104, 162, 821 is 1

Given Input Data is 148, 104, 162, 821

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 104 is 2 x 2 x 2 x 13

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

Prime Factorization of 821 is 821

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(148, 104) = 3848

GCD(148, 104) = ( 148 x 104 ) / 3848

GCD(148, 104) = 15392 / 3848

GCD(148, 104) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 162

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

LCM(4, 162) = 324

GCD(4, 162) = ( 4 x 162 ) / 324

GCD(4, 162) = 648 / 324

GCD(4, 162) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 821

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

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

GCD(2, 821) = 1642 / 1642

GCD(2, 821) = 1

GCD of 148, 104, 162, 821 is 1

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1. What is the GCD of 148, 104, 162, 821?

GCD of 148, 104, 162, 821 is 1

2. Where do I get the detailed procedure to find GCD of 148, 104, 162, 821?

You can find a detailed procedure to find GCD of 148, 104, 162, 821 on our page.

3. How to find GCD of 148, 104, 162, 821 on a calculator?

You can find the GCD of 148, 104, 162, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.