GCD of 950, 315, 385, 821 Calculator

Given Input numbers are 950, 315, 385, 821

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

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 950, 315, 385, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 315, 385, 821 is 1.

Therefore, GCD of numbers 950, 315, 385, 821 is 1

Given Input Data is 950, 315, 385, 821

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

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 821 is 821

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(950, 315) = 59850

GCD(950, 315) = ( 950 x 315 ) / 59850

GCD(950, 315) = 299250 / 59850

GCD(950, 315) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 385

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

LCM(5, 385) = 385

GCD(5, 385) = ( 5 x 385 ) / 385

GCD(5, 385) = 1925 / 385

GCD(5, 385) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 821

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

LCM(5, 821) = 4105

GCD(5, 821) = ( 5 x 821 ) / 4105

GCD(5, 821) = 4105 / 4105

GCD(5, 821) = 1

GCD of 950, 315, 385, 821 is 1

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1. What is the GCD of 950, 315, 385, 821?

GCD of 950, 315, 385, 821 is 1

2. Where do I get the detailed procedure to find GCD of 950, 315, 385, 821?

You can find a detailed procedure to find GCD of 950, 315, 385, 821 on our page.

3. How to find GCD of 950, 315, 385, 821 on a calculator?

You can find the GCD of 950, 315, 385, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.