GCD of 688, 912, 704, 961 Calculator

Given Input numbers are 688, 912, 704, 961

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 961

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

1, 31, 961

Greatest Common Divisior

We found the divisors of 688, 912, 704, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 912, 704, 961 is 1.

Therefore, GCD of numbers 688, 912, 704, 961 is 1

Given Input Data is 688, 912, 704, 961

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 961 is 31 x 31

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(688, 912) = 39216

GCD(688, 912) = ( 688 x 912 ) / 39216

GCD(688, 912) = 627456 / 39216

GCD(688, 912) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 704

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

LCM(16, 704) = 704

GCD(16, 704) = ( 16 x 704 ) / 704

GCD(16, 704) = 11264 / 704

GCD(16, 704) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 961

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

LCM(16, 961) = 15376

GCD(16, 961) = ( 16 x 961 ) / 15376

GCD(16, 961) = 15376 / 15376

GCD(16, 961) = 1

GCD of 688, 912, 704, 961 is 1

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1. What is the GCD of 688, 912, 704, 961?

GCD of 688, 912, 704, 961 is 1

2. Where do I get the detailed procedure to find GCD of 688, 912, 704, 961?

You can find a detailed procedure to find GCD of 688, 912, 704, 961 on our page.

3. How to find GCD of 688, 912, 704, 961 on a calculator?

You can find the GCD of 688, 912, 704, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.