GCD of 992, 353, 709, 764 Calculator

Given Input numbers are 992, 353, 709, 764

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 992, 353, 709, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 353, 709, 764 is 1.

Therefore, GCD of numbers 992, 353, 709, 764 is 1

Given Input Data is 992, 353, 709, 764

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 353 is 353

Prime Factorization of 709 is 709

Prime Factorization of 764 is 2 x 2 x 191

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(992, 353) = 350176

GCD(992, 353) = ( 992 x 353 ) / 350176

GCD(992, 353) = 350176 / 350176

GCD(992, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 992, 353, 709, 764 is 1

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1. What is the GCD of 992, 353, 709, 764?

GCD of 992, 353, 709, 764 is 1

2. Where do I get the detailed procedure to find GCD of 992, 353, 709, 764?

You can find a detailed procedure to find GCD of 992, 353, 709, 764 on our page.

3. How to find GCD of 992, 353, 709, 764 on a calculator?

You can find the GCD of 992, 353, 709, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.