GCD of 828, 850, 34, 477 Calculator

Given Input numbers are 828, 850, 34, 477

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 828, 850, 34, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 850, 34, 477 is 1.

Therefore, GCD of numbers 828, 850, 34, 477 is 1

Given Input Data is 828, 850, 34, 477

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 477 is 3 x 3 x 53

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(828, 850) = 351900

GCD(828, 850) = ( 828 x 850 ) / 351900

GCD(828, 850) = 703800 / 351900

GCD(828, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 477

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

LCM(2, 477) = 954

GCD(2, 477) = ( 2 x 477 ) / 954

GCD(2, 477) = 954 / 954

GCD(2, 477) = 1

GCD of 828, 850, 34, 477 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 890, 17, 915
• GCD of 646, 781, 32, 319
• GCD of 474, 927, 28, 503
• GCD of 117, 338, 54, 527
• GCD of 937, 659, 17, 353

1. What is the GCD of 828, 850, 34, 477?

GCD of 828, 850, 34, 477 is 1

2. Where do I get the detailed procedure to find GCD of 828, 850, 34, 477?

You can find a detailed procedure to find GCD of 828, 850, 34, 477 on our page.

3. How to find GCD of 828, 850, 34, 477 on a calculator?

You can find the GCD of 828, 850, 34, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.