GCD of 696, 692, 51, 554 Calculator

Given Input numbers are 696, 692, 51, 554

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 696, 692, 51, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 692, 51, 554 is 1.

Therefore, GCD of numbers 696, 692, 51, 554 is 1

Given Input Data is 696, 692, 51, 554

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 51 is 3 x 17

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(696, 692) = 120408

GCD(696, 692) = ( 696 x 692 ) / 120408

GCD(696, 692) = 481632 / 120408

GCD(696, 692) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 51

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

LCM(4, 51) = 204

GCD(4, 51) = ( 4 x 51 ) / 204

GCD(4, 51) = 204 / 204

GCD(4, 51) = 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 696, 692, 51, 554 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 541, 96, 992
• GCD of 508, 611, 64, 852
• GCD of 890, 832, 55, 204
• GCD of 786, 755, 94, 868
• GCD of 611, 268, 71, 886

1. What is the GCD of 696, 692, 51, 554?

GCD of 696, 692, 51, 554 is 1

2. Where do I get the detailed procedure to find GCD of 696, 692, 51, 554?

You can find a detailed procedure to find GCD of 696, 692, 51, 554 on our page.

3. How to find GCD of 696, 692, 51, 554 on a calculator?

You can find the GCD of 696, 692, 51, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.