GCD of 149, 699, 716 Calculator

Given Input numbers are 149, 699, 716

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 699

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

1, 3, 233, 699

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 149, 699, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 699, 716 is 1.

Therefore, GCD of numbers 149, 699, 716 is 1

Given Input Data is 149, 699, 716

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

Prime Factorization of 149 is 149

Prime Factorization of 699 is 3 x 233

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(149, 699) = 104151

GCD(149, 699) = ( 149 x 699 ) / 104151

GCD(149, 699) = 104151 / 104151

GCD(149, 699) = 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

GCD of 149, 699, 716 is 1

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1. What is the GCD of 149, 699, 716?

GCD of 149, 699, 716 is 1

2. Where do I get the detailed procedure to find GCD of 149, 699, 716?

You can find a detailed procedure to find GCD of 149, 699, 716 on our page.

3. How to find GCD of 149, 699, 716 on a calculator?

You can find the GCD of 149, 699, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.