GCD of 772, 726, 716, 699 Calculator

Given Input numbers are 772, 726, 716, 699

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 716

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

1, 2, 4, 179, 358, 716

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 772, 726, 716, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 726, 716, 699 is 1.

Therefore, GCD of numbers 772, 726, 716, 699 is 1

Given Input Data is 772, 726, 716, 699

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 699 is 3 x 233

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(772, 726) = 280236

GCD(772, 726) = ( 772 x 726 ) / 280236

GCD(772, 726) = 560472 / 280236

GCD(772, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 716

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

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

GCD(2, 716) = 1432 / 716

GCD(2, 716) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 699

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

LCM(2, 699) = 1398

GCD(2, 699) = ( 2 x 699 ) / 1398

GCD(2, 699) = 1398 / 1398

GCD(2, 699) = 1

GCD of 772, 726, 716, 699 is 1

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1. What is the GCD of 772, 726, 716, 699?

GCD of 772, 726, 716, 699 is 1

2. Where do I get the detailed procedure to find GCD of 772, 726, 716, 699?

You can find a detailed procedure to find GCD of 772, 726, 716, 699 on our page.

3. How to find GCD of 772, 726, 716, 699 on a calculator?

You can find the GCD of 772, 726, 716, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.