GCD of 706, 765, 716, 992 Calculator

Given Input numbers are 706, 765, 716, 992

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 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

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

Greatest Common Divisior

We found the divisors of 706, 765, 716, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 765, 716, 992 is 1.

Therefore, GCD of numbers 706, 765, 716, 992 is 1

Given Input Data is 706, 765, 716, 992

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 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(706, 765) = 540090

GCD(706, 765) = ( 706 x 765 ) / 540090

GCD(706, 765) = 540090 / 540090

GCD(706, 765) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 706, 765, 716, 992 is 1

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1. What is the GCD of 706, 765, 716, 992?

GCD of 706, 765, 716, 992 is 1

2. Where do I get the detailed procedure to find GCD of 706, 765, 716, 992?

You can find a detailed procedure to find GCD of 706, 765, 716, 992 on our page.

3. How to find GCD of 706, 765, 716, 992 on a calculator?

You can find the GCD of 706, 765, 716, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.