GCD of 147, 311, 408, 371 Calculator

Given Input numbers are 147, 311, 408, 371

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 147, 311, 408, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 311, 408, 371 is 1.

Therefore, GCD of numbers 147, 311, 408, 371 is 1

Given Input Data is 147, 311, 408, 371

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 311 is 311

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 371 is 7 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(147, 311) = 45717

GCD(147, 311) = ( 147 x 311 ) / 45717

GCD(147, 311) = 45717 / 45717

GCD(147, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 147, 311, 408, 371 is 1

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1. What is the GCD of 147, 311, 408, 371?

GCD of 147, 311, 408, 371 is 1

2. Where do I get the detailed procedure to find GCD of 147, 311, 408, 371?

You can find a detailed procedure to find GCD of 147, 311, 408, 371 on our page.

3. How to find GCD of 147, 311, 408, 371 on a calculator?

You can find the GCD of 147, 311, 408, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.