GCD of 715, 336, 15, 554 Calculator

Given Input numbers are 715, 336, 15, 554

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

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 715, 336, 15, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 336, 15, 554 is 1.

Therefore, GCD of numbers 715, 336, 15, 554 is 1

Given Input Data is 715, 336, 15, 554

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 554 is 2 x 277

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(715, 336) = 240240

GCD(715, 336) = ( 715 x 336 ) / 240240

GCD(715, 336) = 240240 / 240240

GCD(715, 336) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 715, 336, 15, 554 is 1

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1. What is the GCD of 715, 336, 15, 554?

GCD of 715, 336, 15, 554 is 1

2. Where do I get the detailed procedure to find GCD of 715, 336, 15, 554?

You can find a detailed procedure to find GCD of 715, 336, 15, 554 on our page.

3. How to find GCD of 715, 336, 15, 554 on a calculator?

You can find the GCD of 715, 336, 15, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.