GCD of 157, 388, 512, 410 Calculator

Given Input numbers are 157, 388, 512, 410

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 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 157, 388, 512, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 388, 512, 410 is 1.

Therefore, GCD of numbers 157, 388, 512, 410 is 1

Given Input Data is 157, 388, 512, 410

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

Prime Factorization of 157 is 157

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 410 is 2 x 5 x 41

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, 388) = 60916

GCD(157, 388) = ( 157 x 388 ) / 60916

GCD(157, 388) = 60916 / 60916

GCD(157, 388) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

GCD of 157, 388, 512, 410 is 1

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1. What is the GCD of 157, 388, 512, 410?

GCD of 157, 388, 512, 410 is 1

2. Where do I get the detailed procedure to find GCD of 157, 388, 512, 410?

You can find a detailed procedure to find GCD of 157, 388, 512, 410 on our page.

3. How to find GCD of 157, 388, 512, 410 on a calculator?

You can find the GCD of 157, 388, 512, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.