GCD of 553, 476, 19, 677 Calculator

Given Input numbers are 553, 476, 19, 677

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 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 19

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

1, 19

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 553, 476, 19, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 476, 19, 677 is 1.

Therefore, GCD of numbers 553, 476, 19, 677 is 1

Given Input Data is 553, 476, 19, 677

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 19 is 19

Prime Factorization of 677 is 677

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, 476) = 37604

GCD(553, 476) = ( 553 x 476 ) / 37604

GCD(553, 476) = 263228 / 37604

GCD(553, 476) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 19

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

LCM(7, 19) = 133

GCD(7, 19) = ( 7 x 19 ) / 133

GCD(7, 19) = 133 / 133

GCD(7, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 553, 476, 19, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 360, 81, 249
• GCD of 778, 154, 41, 414
• GCD of 688, 222, 26, 642
• GCD of 387, 616, 23, 757
• GCD of 425, 446, 44, 697

1. What is the GCD of 553, 476, 19, 677?

GCD of 553, 476, 19, 677 is 1

2. Where do I get the detailed procedure to find GCD of 553, 476, 19, 677?

You can find a detailed procedure to find GCD of 553, 476, 19, 677 on our page.

3. How to find GCD of 553, 476, 19, 677 on a calculator?

You can find the GCD of 553, 476, 19, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.