GCD of 850, 410, 178, 697 Calculator

Given Input numbers are 850, 410, 178, 697

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 850, 410, 178, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 410, 178, 697 is 1.

Therefore, GCD of numbers 850, 410, 178, 697 is 1

Given Input Data is 850, 410, 178, 697

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 178 is 2 x 89

Prime Factorization of 697 is 17 x 41

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(850, 410) = 34850

GCD(850, 410) = ( 850 x 410 ) / 34850

GCD(850, 410) = 348500 / 34850

GCD(850, 410) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 178

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

LCM(10, 178) = 890

GCD(10, 178) = ( 10 x 178 ) / 890

GCD(10, 178) = 1780 / 890

GCD(10, 178) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 697

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

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

GCD(2, 697) = 1394 / 1394

GCD(2, 697) = 1

GCD of 850, 410, 178, 697 is 1

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• GCD of 328, 631, 426, 372
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• GCD of 287, 125, 656, 129

1. What is the GCD of 850, 410, 178, 697?

GCD of 850, 410, 178, 697 is 1

2. Where do I get the detailed procedure to find GCD of 850, 410, 178, 697?

You can find a detailed procedure to find GCD of 850, 410, 178, 697 on our page.

3. How to find GCD of 850, 410, 178, 697 on a calculator?

You can find the GCD of 850, 410, 178, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.