GCD of 315, 523, 16, 917 Calculator

Given Input numbers are 315, 523, 16, 917

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 315, 523, 16, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 523, 16, 917 is 1.

Therefore, GCD of numbers 315, 523, 16, 917 is 1

Given Input Data is 315, 523, 16, 917

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 523 is 523

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 917 is 7 x 131

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(315, 523) = 164745

GCD(315, 523) = ( 315 x 523 ) / 164745

GCD(315, 523) = 164745 / 164745

GCD(315, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 315, 523, 16, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 606, 17, 940
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• GCD of 889, 517, 87, 719
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• GCD of 941, 823, 66, 731

1. What is the GCD of 315, 523, 16, 917?

GCD of 315, 523, 16, 917 is 1

2. Where do I get the detailed procedure to find GCD of 315, 523, 16, 917?

You can find a detailed procedure to find GCD of 315, 523, 16, 917 on our page.

3. How to find GCD of 315, 523, 16, 917 on a calculator?

You can find the GCD of 315, 523, 16, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.