GCD of 50, 685, 705, 856 Calculator

Given Input numbers are 50, 685, 705, 856

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 685

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

1, 5, 137, 685

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 50, 685, 705, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 685, 705, 856 is 1.

Therefore, GCD of numbers 50, 685, 705, 856 is 1

Given Input Data is 50, 685, 705, 856

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 685 is 5 x 137

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(50, 685) = 6850

GCD(50, 685) = ( 50 x 685 ) / 6850

GCD(50, 685) = 34250 / 6850

GCD(50, 685) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 705

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

LCM(5, 705) = 705

GCD(5, 705) = ( 5 x 705 ) / 705

GCD(5, 705) = 3525 / 705

GCD(5, 705) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 856

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

LCM(5, 856) = 4280

GCD(5, 856) = ( 5 x 856 ) / 4280

GCD(5, 856) = 4280 / 4280

GCD(5, 856) = 1

GCD of 50, 685, 705, 856 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 545, 320, 529
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• GCD of 13, 320, 790, 431
• GCD of 29, 897, 204, 261
• GCD of 34, 561, 818, 304

1. What is the GCD of 50, 685, 705, 856?

GCD of 50, 685, 705, 856 is 1

2. Where do I get the detailed procedure to find GCD of 50, 685, 705, 856?

You can find a detailed procedure to find GCD of 50, 685, 705, 856 on our page.

3. How to find GCD of 50, 685, 705, 856 on a calculator?

You can find the GCD of 50, 685, 705, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.