GCD of 720, 953, 15, 364 Calculator

Given Input numbers are 720, 953, 15, 364

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 953

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

1, 953

Divisors of 15

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

1, 3, 5, 15

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 720, 953, 15, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 953, 15, 364 is 1.

Therefore, GCD of numbers 720, 953, 15, 364 is 1

Given Input Data is 720, 953, 15, 364

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 953 is 953

Prime Factorization of 15 is 3 x 5

Prime Factorization of 364 is 2 x 2 x 7 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(720, 953) = 686160

GCD(720, 953) = ( 720 x 953 ) / 686160

GCD(720, 953) = 686160 / 686160

GCD(720, 953) = 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 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 720, 953, 15, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 356, 54, 832
• GCD of 171, 411, 47, 359
• GCD of 941, 809, 53, 491
• GCD of 149, 779, 69, 462
• GCD of 462, 436, 29, 904

1. What is the GCD of 720, 953, 15, 364?

GCD of 720, 953, 15, 364 is 1

2. Where do I get the detailed procedure to find GCD of 720, 953, 15, 364?

You can find a detailed procedure to find GCD of 720, 953, 15, 364 on our page.

3. How to find GCD of 720, 953, 15, 364 on a calculator?

You can find the GCD of 720, 953, 15, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.