GCD of 168, 465, 706, 685 Calculator

Given Input numbers are 168, 465, 706, 685

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 685

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

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 168, 465, 706, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 465, 706, 685 is 1.

Therefore, GCD of numbers 168, 465, 706, 685 is 1

Given Input Data is 168, 465, 706, 685

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 706 is 2 x 353

Prime Factorization of 685 is 5 x 137

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(168, 465) = 26040

GCD(168, 465) = ( 168 x 465 ) / 26040

GCD(168, 465) = 78120 / 26040

GCD(168, 465) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 706

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

LCM(3, 706) = 2118

GCD(3, 706) = ( 3 x 706 ) / 2118

GCD(3, 706) = 2118 / 2118

GCD(3, 706) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 168, 465, 706, 685 is 1

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• GCD of 565, 144, 112, 493
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1. What is the GCD of 168, 465, 706, 685?

GCD of 168, 465, 706, 685 is 1

2. Where do I get the detailed procedure to find GCD of 168, 465, 706, 685?

You can find a detailed procedure to find GCD of 168, 465, 706, 685 on our page.

3. How to find GCD of 168, 465, 706, 685 on a calculator?

You can find the GCD of 168, 465, 706, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.