GCD of 706, 953, 23, 316 Calculator

Given Input numbers are 706, 953, 23, 316

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 953

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

1, 953

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 706, 953, 23, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 953, 23, 316 is 1.

Therefore, GCD of numbers 706, 953, 23, 316 is 1

Given Input Data is 706, 953, 23, 316

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 953 is 953

Prime Factorization of 23 is 23

Prime Factorization of 316 is 2 x 2 x 79

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, 953) = 672818

GCD(706, 953) = ( 706 x 953 ) / 672818

GCD(706, 953) = 672818 / 672818

GCD(706, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 706, 953, 23, 316 is 1

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1. What is the GCD of 706, 953, 23, 316?

GCD of 706, 953, 23, 316 is 1

2. Where do I get the detailed procedure to find GCD of 706, 953, 23, 316?

You can find a detailed procedure to find GCD of 706, 953, 23, 316 on our page.

3. How to find GCD of 706, 953, 23, 316 on a calculator?

You can find the GCD of 706, 953, 23, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.