GCD of 354, 632, 517, 471 Calculator

Given Input numbers are 354, 632, 517, 471

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

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 354, 632, 517, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 632, 517, 471 is 1.

Therefore, GCD of numbers 354, 632, 517, 471 is 1

Given Input Data is 354, 632, 517, 471

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 517 is 11 x 47

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(354, 632) = 111864

GCD(354, 632) = ( 354 x 632 ) / 111864

GCD(354, 632) = 223728 / 111864

GCD(354, 632) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 517

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

LCM(2, 517) = 1034

GCD(2, 517) = ( 2 x 517 ) / 1034

GCD(2, 517) = 1034 / 1034

GCD(2, 517) = 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 354, 632, 517, 471 is 1

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1. What is the GCD of 354, 632, 517, 471?

GCD of 354, 632, 517, 471 is 1

2. Where do I get the detailed procedure to find GCD of 354, 632, 517, 471?

You can find a detailed procedure to find GCD of 354, 632, 517, 471 on our page.

3. How to find GCD of 354, 632, 517, 471 on a calculator?

You can find the GCD of 354, 632, 517, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.