GCD of 553, 953, 19, 320 Calculator

Given Input numbers are 553, 953, 19, 320

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 953

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

1, 953

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 553, 953, 19, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 953, 19, 320 is 1.

Therefore, GCD of numbers 553, 953, 19, 320 is 1

Given Input Data is 553, 953, 19, 320

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 953 is 953

Prime Factorization of 19 is 19

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(553, 953) = 527009

GCD(553, 953) = ( 553 x 953 ) / 527009

GCD(553, 953) = 527009 / 527009

GCD(553, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 553, 953, 19, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 984, 38, 479
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• GCD of 380, 294, 34, 476
• GCD of 497, 880, 80, 151
• GCD of 954, 548, 51, 614

1. What is the GCD of 553, 953, 19, 320?

GCD of 553, 953, 19, 320 is 1

2. Where do I get the detailed procedure to find GCD of 553, 953, 19, 320?

You can find a detailed procedure to find GCD of 553, 953, 19, 320 on our page.

3. How to find GCD of 553, 953, 19, 320 on a calculator?

You can find the GCD of 553, 953, 19, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.