GCD of 782, 676, 707, 716 Calculator

Given Input numbers are 782, 676, 707, 716

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 716

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

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 782, 676, 707, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 676, 707, 716 is 1.

Therefore, GCD of numbers 782, 676, 707, 716 is 1

Given Input Data is 782, 676, 707, 716

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 707 is 7 x 101

Prime Factorization of 716 is 2 x 2 x 179

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(782, 676) = 264316

GCD(782, 676) = ( 782 x 676 ) / 264316

GCD(782, 676) = 528632 / 264316

GCD(782, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 707

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

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

GCD(2, 707) = 1414 / 1414

GCD(2, 707) = 1

Step3:

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

GCD of 782, 676, 707, 716 is 1

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1. What is the GCD of 782, 676, 707, 716?

GCD of 782, 676, 707, 716 is 1

2. Where do I get the detailed procedure to find GCD of 782, 676, 707, 716?

You can find a detailed procedure to find GCD of 782, 676, 707, 716 on our page.

3. How to find GCD of 782, 676, 707, 716 on a calculator?

You can find the GCD of 782, 676, 707, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.