GCD of 661, 685, 17, 712 Calculator

Given Input numbers are 661, 685, 17, 712

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

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 661, 685, 17, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 685, 17, 712 is 1.

Therefore, GCD of numbers 661, 685, 17, 712 is 1

Given Input Data is 661, 685, 17, 712

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

Prime Factorization of 661 is 661

Prime Factorization of 685 is 5 x 137

Prime Factorization of 17 is 17

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(661, 685) = 452785

GCD(661, 685) = ( 661 x 685 ) / 452785

GCD(661, 685) = 452785 / 452785

GCD(661, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 661, 685, 17, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 270, 11, 491
• GCD of 238, 486, 73, 344
• GCD of 386, 441, 23, 340
• GCD of 399, 168, 19, 912
• GCD of 456, 951, 94, 292

1. What is the GCD of 661, 685, 17, 712?

GCD of 661, 685, 17, 712 is 1

2. Where do I get the detailed procedure to find GCD of 661, 685, 17, 712?

You can find a detailed procedure to find GCD of 661, 685, 17, 712 on our page.

3. How to find GCD of 661, 685, 17, 712 on a calculator?

You can find the GCD of 661, 685, 17, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.