GCD of 696, 953, 16, 988 Calculator

Given Input numbers are 696, 953, 16, 988

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 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 696, 953, 16, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 953, 16, 988 is 1.

Therefore, GCD of numbers 696, 953, 16, 988 is 1

Given Input Data is 696, 953, 16, 988

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 953 is 953

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 988 is 2 x 2 x 13 x 19

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, 953) = 663288

GCD(696, 953) = ( 696 x 953 ) / 663288

GCD(696, 953) = 663288 / 663288

GCD(696, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 696, 953, 16, 988 is 1

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1. What is the GCD of 696, 953, 16, 988?

GCD of 696, 953, 16, 988 is 1

2. Where do I get the detailed procedure to find GCD of 696, 953, 16, 988?

You can find a detailed procedure to find GCD of 696, 953, 16, 988 on our page.

3. How to find GCD of 696, 953, 16, 988 on a calculator?

You can find the GCD of 696, 953, 16, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.