GCD of 693, 112, 23, 554 Calculator

Given Input numbers are 693, 112, 23, 554

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 693, 112, 23, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 112, 23, 554 is 1.

Therefore, GCD of numbers 693, 112, 23, 554 is 1

Given Input Data is 693, 112, 23, 554

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 23 is 23

Prime Factorization of 554 is 2 x 277

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(693, 112) = 11088

GCD(693, 112) = ( 693 x 112 ) / 11088

GCD(693, 112) = 77616 / 11088

GCD(693, 112) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 23

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

LCM(7, 23) = 161

GCD(7, 23) = ( 7 x 23 ) / 161

GCD(7, 23) = 161 / 161

GCD(7, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 693, 112, 23, 554 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 212, 27, 743
• GCD of 676, 237, 57, 749
• GCD of 911, 543, 56, 384
• GCD of 639, 337, 35, 129
• GCD of 467, 783, 47, 159

1. What is the GCD of 693, 112, 23, 554?

GCD of 693, 112, 23, 554 is 1

2. Where do I get the detailed procedure to find GCD of 693, 112, 23, 554?

You can find a detailed procedure to find GCD of 693, 112, 23, 554 on our page.

3. How to find GCD of 693, 112, 23, 554 on a calculator?

You can find the GCD of 693, 112, 23, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.