GCD of 749, 690, 716 Calculator

Given Input numbers are 749, 690, 716

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 749, 690, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 690, 716 is 1.

Therefore, GCD of numbers 749, 690, 716 is 1

Given Input Data is 749, 690, 716

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(749, 690) = 516810

GCD(749, 690) = ( 749 x 690 ) / 516810

GCD(749, 690) = 516810 / 516810

GCD(749, 690) = 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 749, 690, 716 is 1

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1. What is the GCD of 749, 690, 716?

GCD of 749, 690, 716 is 1

2. Where do I get the detailed procedure to find GCD of 749, 690, 716?

You can find a detailed procedure to find GCD of 749, 690, 716 on our page.

3. How to find GCD of 749, 690, 716 on a calculator?

You can find the GCD of 749, 690, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.