GCD of 415, 267, 788, 475 Calculator

Given Input numbers are 415, 267, 788, 475

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

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 475

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

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 415, 267, 788, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 267, 788, 475 is 1.

Therefore, GCD of numbers 415, 267, 788, 475 is 1

Given Input Data is 415, 267, 788, 475

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 267 is 3 x 89

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 475 is 5 x 5 x 19

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(415, 267) = 110805

GCD(415, 267) = ( 415 x 267 ) / 110805

GCD(415, 267) = 110805 / 110805

GCD(415, 267) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

Step3:

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

GCD of 415, 267, 788, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 140, 904, 166
• GCD of 896, 654, 832, 824
• GCD of 687, 684, 192, 965
• GCD of 245, 658, 504, 730
• GCD of 981, 296, 727, 343

1. What is the GCD of 415, 267, 788, 475?

GCD of 415, 267, 788, 475 is 1

2. Where do I get the detailed procedure to find GCD of 415, 267, 788, 475?

You can find a detailed procedure to find GCD of 415, 267, 788, 475 on our page.

3. How to find GCD of 415, 267, 788, 475 on a calculator?

You can find the GCD of 415, 267, 788, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.