GCD of 850, 595, 99, 921 Calculator

Given Input numbers are 850, 595, 99, 921

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 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 850, 595, 99, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 595, 99, 921 is 1.

Therefore, GCD of numbers 850, 595, 99, 921 is 1

Given Input Data is 850, 595, 99, 921

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 595 is 5 x 7 x 17

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 921 is 3 x 307

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, 595) = 5950

GCD(850, 595) = ( 850 x 595 ) / 5950

GCD(850, 595) = 505750 / 5950

GCD(850, 595) = 85

Step2:

Here we consider the GCD from the above i.e. 85 as first number and the next as 99

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

LCM(85, 99) = 8415

GCD(85, 99) = ( 85 x 99 ) / 8415

GCD(85, 99) = 8415 / 8415

GCD(85, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 850, 595, 99, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 173, 86, 131
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• GCD of 873, 418, 95, 551
• GCD of 850, 360, 89, 891
• GCD of 685, 297, 25, 319

1. What is the GCD of 850, 595, 99, 921?

GCD of 850, 595, 99, 921 is 1

2. Where do I get the detailed procedure to find GCD of 850, 595, 99, 921?

You can find a detailed procedure to find GCD of 850, 595, 99, 921 on our page.

3. How to find GCD of 850, 595, 99, 921 on a calculator?

You can find the GCD of 850, 595, 99, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.