GCD of 15, 742, 953, 998 Calculator

Given Input numbers are 15, 742, 953, 998

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

Divisors of 15

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

1, 3, 5, 15

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 15, 742, 953, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 742, 953, 998 is 1.

Therefore, GCD of numbers 15, 742, 953, 998 is 1

Given Input Data is 15, 742, 953, 998

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 953 is 953

Prime Factorization of 998 is 2 x 499

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(15, 742) = 11130

GCD(15, 742) = ( 15 x 742 ) / 11130

GCD(15, 742) = 11130 / 11130

GCD(15, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 15, 742, 953, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 230, 248, 600
• GCD of 19, 640, 615, 722
• GCD of 67, 681, 214, 410
• GCD of 88, 847, 393, 467
• GCD of 16, 171, 451, 109

1. What is the GCD of 15, 742, 953, 998?

GCD of 15, 742, 953, 998 is 1

2. Where do I get the detailed procedure to find GCD of 15, 742, 953, 998?

You can find a detailed procedure to find GCD of 15, 742, 953, 998 on our page.

3. How to find GCD of 15, 742, 953, 998 on a calculator?

You can find the GCD of 15, 742, 953, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.