GCD of 968, 592, 115, 706 Calculator

Given Input numbers are 968, 592, 115, 706

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 968, 592, 115, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 592, 115, 706 is 1.

Therefore, GCD of numbers 968, 592, 115, 706 is 1

Given Input Data is 968, 592, 115, 706

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 115 is 5 x 23

Prime Factorization of 706 is 2 x 353

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(968, 592) = 71632

GCD(968, 592) = ( 968 x 592 ) / 71632

GCD(968, 592) = 573056 / 71632

GCD(968, 592) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 115

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

LCM(8, 115) = 920

GCD(8, 115) = ( 8 x 115 ) / 920

GCD(8, 115) = 920 / 920

GCD(8, 115) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 968, 592, 115, 706 is 1

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1. What is the GCD of 968, 592, 115, 706?

GCD of 968, 592, 115, 706 is 1

2. Where do I get the detailed procedure to find GCD of 968, 592, 115, 706?

You can find a detailed procedure to find GCD of 968, 592, 115, 706 on our page.

3. How to find GCD of 968, 592, 115, 706 on a calculator?

You can find the GCD of 968, 592, 115, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.