GCD of 758, 664, 815, 471 Calculator

Given Input numbers are 758, 664, 815, 471

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 758, 664, 815, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 664, 815, 471 is 1.

Therefore, GCD of numbers 758, 664, 815, 471 is 1

Given Input Data is 758, 664, 815, 471

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 815 is 5 x 163

Prime Factorization of 471 is 3 x 157

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(758, 664) = 251656

GCD(758, 664) = ( 758 x 664 ) / 251656

GCD(758, 664) = 503312 / 251656

GCD(758, 664) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 815

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

LCM(2, 815) = 1630

GCD(2, 815) = ( 2 x 815 ) / 1630

GCD(2, 815) = 1630 / 1630

GCD(2, 815) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 758, 664, 815, 471 is 1

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1. What is the GCD of 758, 664, 815, 471?

GCD of 758, 664, 815, 471 is 1

2. Where do I get the detailed procedure to find GCD of 758, 664, 815, 471?

You can find a detailed procedure to find GCD of 758, 664, 815, 471 on our page.

3. How to find GCD of 758, 664, 815, 471 on a calculator?

You can find the GCD of 758, 664, 815, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.