GCD of 705, 537, 691 Calculator

Given Input numbers are 705, 537, 691

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 705, 537, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 537, 691 is 1.

Therefore, GCD of numbers 705, 537, 691 is 1

Given Input Data is 705, 537, 691

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 537 is 3 x 179

Prime Factorization of 691 is 691

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(705, 537) = 126195

GCD(705, 537) = ( 705 x 537 ) / 126195

GCD(705, 537) = 378585 / 126195

GCD(705, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 691

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

LCM(3, 691) = 2073

GCD(3, 691) = ( 3 x 691 ) / 2073

GCD(3, 691) = 2073 / 2073

GCD(3, 691) = 1

GCD of 705, 537, 691 is 1

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1. What is the GCD of 705, 537, 691?

GCD of 705, 537, 691 is 1

2. Where do I get the detailed procedure to find GCD of 705, 537, 691?

You can find a detailed procedure to find GCD of 705, 537, 691 on our page.

3. How to find GCD of 705, 537, 691 on a calculator?

You can find the GCD of 705, 537, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.