GCD of 553, 746, 99, 694 Calculator

Given Input numbers are 553, 746, 99, 694

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 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 694

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

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 553, 746, 99, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 746, 99, 694 is 1.

Therefore, GCD of numbers 553, 746, 99, 694 is 1

Given Input Data is 553, 746, 99, 694

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 746 is 2 x 373

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 694 is 2 x 347

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, 746) = 412538

GCD(553, 746) = ( 553 x 746 ) / 412538

GCD(553, 746) = 412538 / 412538

GCD(553, 746) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 553, 746, 99, 694 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 157, 36, 471
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• GCD of 252, 376, 90, 863

1. What is the GCD of 553, 746, 99, 694?

GCD of 553, 746, 99, 694 is 1

2. Where do I get the detailed procedure to find GCD of 553, 746, 99, 694?

You can find a detailed procedure to find GCD of 553, 746, 99, 694 on our page.

3. How to find GCD of 553, 746, 99, 694 on a calculator?

You can find the GCD of 553, 746, 99, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.