GCD of 998, 915, 36, 715 Calculator

Given Input numbers are 998, 915, 36, 715

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 715

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

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

Greatest Common Divisior

We found the divisors of 998, 915, 36, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 915, 36, 715 is 1.

Therefore, GCD of numbers 998, 915, 36, 715 is 1

Given Input Data is 998, 915, 36, 715

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 715 is 5 x 11 x 13

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(998, 915) = 913170

GCD(998, 915) = ( 998 x 915 ) / 913170

GCD(998, 915) = 913170 / 913170

GCD(998, 915) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 998, 915, 36, 715 is 1

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1. What is the GCD of 998, 915, 36, 715?

GCD of 998, 915, 36, 715 is 1

2. Where do I get the detailed procedure to find GCD of 998, 915, 36, 715?

You can find a detailed procedure to find GCD of 998, 915, 36, 715 on our page.

3. How to find GCD of 998, 915, 36, 715 on a calculator?

You can find the GCD of 998, 915, 36, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.