GCD of 475, 148, 42, 356 Calculator

Given Input numbers are 475, 148, 42, 356

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 475, 148, 42, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 148, 42, 356 is 1.

Therefore, GCD of numbers 475, 148, 42, 356 is 1

Given Input Data is 475, 148, 42, 356

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 356 is 2 x 2 x 89

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(475, 148) = 70300

GCD(475, 148) = ( 475 x 148 ) / 70300

GCD(475, 148) = 70300 / 70300

GCD(475, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 475, 148, 42, 356 is 1

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• GCD of 181, 540, 59, 153
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1. What is the GCD of 475, 148, 42, 356?

GCD of 475, 148, 42, 356 is 1

2. Where do I get the detailed procedure to find GCD of 475, 148, 42, 356?

You can find a detailed procedure to find GCD of 475, 148, 42, 356 on our page.

3. How to find GCD of 475, 148, 42, 356 on a calculator?

You can find the GCD of 475, 148, 42, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.