GCD of 706, 313, 893, 960 Calculator

Given Input numbers are 706, 313, 893, 960

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

Divisors of 706

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

1, 2, 353, 706

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 706, 313, 893, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 313, 893, 960 is 1.

Therefore, GCD of numbers 706, 313, 893, 960 is 1

Given Input Data is 706, 313, 893, 960

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 313 is 313

Prime Factorization of 893 is 19 x 47

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(706, 313) = 220978

GCD(706, 313) = ( 706 x 313 ) / 220978

GCD(706, 313) = 220978 / 220978

GCD(706, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 706, 313, 893, 960 is 1

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1. What is the GCD of 706, 313, 893, 960?

GCD of 706, 313, 893, 960 is 1

2. Where do I get the detailed procedure to find GCD of 706, 313, 893, 960?

You can find a detailed procedure to find GCD of 706, 313, 893, 960 on our page.

3. How to find GCD of 706, 313, 893, 960 on a calculator?

You can find the GCD of 706, 313, 893, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.