GCD of 850, 428, 314, 569 Calculator

Given Input numbers are 850, 428, 314, 569

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 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Greatest Common Divisior

We found the divisors of 850, 428, 314, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 428, 314, 569 is 1.

Therefore, GCD of numbers 850, 428, 314, 569 is 1

Given Input Data is 850, 428, 314, 569

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 428 is 2 x 2 x 107

Prime Factorization of 314 is 2 x 157

Prime Factorization of 569 is 569

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, 428) = 181900

GCD(850, 428) = ( 850 x 428 ) / 181900

GCD(850, 428) = 363800 / 181900

GCD(850, 428) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 569

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

LCM(2, 569) = 1138

GCD(2, 569) = ( 2 x 569 ) / 1138

GCD(2, 569) = 1138 / 1138

GCD(2, 569) = 1

GCD of 850, 428, 314, 569 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 642, 893, 388
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• GCD of 941, 175, 985, 208
• GCD of 383, 362, 568, 678
• GCD of 521, 949, 707, 497

1. What is the GCD of 850, 428, 314, 569?

GCD of 850, 428, 314, 569 is 1

2. Where do I get the detailed procedure to find GCD of 850, 428, 314, 569?

You can find a detailed procedure to find GCD of 850, 428, 314, 569 on our page.

3. How to find GCD of 850, 428, 314, 569 on a calculator?

You can find the GCD of 850, 428, 314, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.