GCD of 696, 154, 961, 629 Calculator

Given Input numbers are 696, 154, 961, 629

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 696, 154, 961, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 154, 961, 629 is 1.

Therefore, GCD of numbers 696, 154, 961, 629 is 1

Given Input Data is 696, 154, 961, 629

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 154 is 2 x 7 x 11

Prime Factorization of 961 is 31 x 31

Prime Factorization of 629 is 17 x 37

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, 154) = 53592

GCD(696, 154) = ( 696 x 154 ) / 53592

GCD(696, 154) = 107184 / 53592

GCD(696, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 696, 154, 961, 629 is 1

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1. What is the GCD of 696, 154, 961, 629?

GCD of 696, 154, 961, 629 is 1

2. Where do I get the detailed procedure to find GCD of 696, 154, 961, 629?

You can find a detailed procedure to find GCD of 696, 154, 961, 629 on our page.

3. How to find GCD of 696, 154, 961, 629 on a calculator?

You can find the GCD of 696, 154, 961, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.