GCD of 553, 694, 878, 690 Calculator

Given Input numbers are 553, 694, 878, 690

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 553, 694, 878, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 694, 878, 690 is 1.

Therefore, GCD of numbers 553, 694, 878, 690 is 1

Given Input Data is 553, 694, 878, 690

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 694 is 2 x 347

Prime Factorization of 878 is 2 x 439

Prime Factorization of 690 is 2 x 3 x 5 x 23

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, 694) = 383782

GCD(553, 694) = ( 553 x 694 ) / 383782

GCD(553, 694) = 383782 / 383782

GCD(553, 694) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 553, 694, 878, 690 is 1

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1. What is the GCD of 553, 694, 878, 690?

GCD of 553, 694, 878, 690 is 1

2. Where do I get the detailed procedure to find GCD of 553, 694, 878, 690?

You can find a detailed procedure to find GCD of 553, 694, 878, 690 on our page.

3. How to find GCD of 553, 694, 878, 690 on a calculator?

You can find the GCD of 553, 694, 878, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.