GCD of 109, 477, 71, 359 Calculator

Given Input numbers are 109, 477, 71, 359

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 109, 477, 71, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 477, 71, 359 is 1.

Therefore, GCD of numbers 109, 477, 71, 359 is 1

Given Input Data is 109, 477, 71, 359

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

Prime Factorization of 109 is 109

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 71 is 71

Prime Factorization of 359 is 359

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(109, 477) = 51993

GCD(109, 477) = ( 109 x 477 ) / 51993

GCD(109, 477) = 51993 / 51993

GCD(109, 477) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 109, 477, 71, 359 is 1

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• GCD of 435, 560, 46, 207
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• GCD of 910, 662, 68, 177

1. What is the GCD of 109, 477, 71, 359?

GCD of 109, 477, 71, 359 is 1

2. Where do I get the detailed procedure to find GCD of 109, 477, 71, 359?

You can find a detailed procedure to find GCD of 109, 477, 71, 359 on our page.

3. How to find GCD of 109, 477, 71, 359 on a calculator?

You can find the GCD of 109, 477, 71, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.