GCD of 148, 667, 475, 828 Calculator

Given Input numbers are 148, 667, 475, 828

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 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 475

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

1, 5, 19, 25, 95, 475

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 148, 667, 475, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 667, 475, 828 is 1.

Therefore, GCD of numbers 148, 667, 475, 828 is 1

Given Input Data is 148, 667, 475, 828

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 667 is 23 x 29

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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, 667) = 98716

GCD(148, 667) = ( 148 x 667 ) / 98716

GCD(148, 667) = 98716 / 98716

GCD(148, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 148, 667, 475, 828 is 1

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1. What is the GCD of 148, 667, 475, 828?

GCD of 148, 667, 475, 828 is 1

2. Where do I get the detailed procedure to find GCD of 148, 667, 475, 828?

You can find a detailed procedure to find GCD of 148, 667, 475, 828 on our page.

3. How to find GCD of 148, 667, 475, 828 on a calculator?

You can find the GCD of 148, 667, 475, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.