GCD of 148, 164, 973, 401 Calculator

Given Input numbers are 148, 164, 973, 401

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 148, 164, 973, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 164, 973, 401 is 1.

Therefore, GCD of numbers 148, 164, 973, 401 is 1

Given Input Data is 148, 164, 973, 401

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 164 is 2 x 2 x 41

Prime Factorization of 973 is 7 x 139

Prime Factorization of 401 is 401

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, 164) = 6068

GCD(148, 164) = ( 148 x 164 ) / 6068

GCD(148, 164) = 24272 / 6068

GCD(148, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 973

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

LCM(4, 973) = 3892

GCD(4, 973) = ( 4 x 973 ) / 3892

GCD(4, 973) = 3892 / 3892

GCD(4, 973) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 148, 164, 973, 401 is 1

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1. What is the GCD of 148, 164, 973, 401?

GCD of 148, 164, 973, 401 is 1

2. Where do I get the detailed procedure to find GCD of 148, 164, 973, 401?

You can find a detailed procedure to find GCD of 148, 164, 973, 401 on our page.

3. How to find GCD of 148, 164, 973, 401 on a calculator?

You can find the GCD of 148, 164, 973, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.