GCD of 157, 416, 371, 406 Calculator

Given Input numbers are 157, 416, 371, 406

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

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 371

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

1, 7, 53, 371

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 157, 416, 371, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 416, 371, 406 is 1.

Therefore, GCD of numbers 157, 416, 371, 406 is 1

Given Input Data is 157, 416, 371, 406

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

Prime Factorization of 157 is 157

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 371 is 7 x 53

Prime Factorization of 406 is 2 x 7 x 29

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(157, 416) = 65312

GCD(157, 416) = ( 157 x 416 ) / 65312

GCD(157, 416) = 65312 / 65312

GCD(157, 416) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 157, 416, 371, 406 is 1

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1. What is the GCD of 157, 416, 371, 406?

GCD of 157, 416, 371, 406 is 1

2. Where do I get the detailed procedure to find GCD of 157, 416, 371, 406?

You can find a detailed procedure to find GCD of 157, 416, 371, 406 on our page.

3. How to find GCD of 157, 416, 371, 406 on a calculator?

You can find the GCD of 157, 416, 371, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.