GCD of 874, 538, 772, 950 Calculator

Given Input numbers are 874, 538, 772, 950

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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

Greatest Common Divisior

We found the divisors of 874, 538, 772, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 538, 772, 950 is 2.

Therefore, GCD of numbers 874, 538, 772, 950 is 2

Given Input Data is 874, 538, 772, 950

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 538 is 2 x 269

Prime Factorization of 772 is 2 x 2 x 193

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(874, 538) = 235106

GCD(874, 538) = ( 874 x 538 ) / 235106

GCD(874, 538) = 470212 / 235106

GCD(874, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 950

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

LCM(2, 950) = 950

GCD(2, 950) = ( 2 x 950 ) / 950

GCD(2, 950) = 1900 / 950

GCD(2, 950) = 2

GCD of 874, 538, 772, 950 is 2

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1. What is the GCD of 874, 538, 772, 950?

GCD of 874, 538, 772, 950 is 2

2. Where do I get the detailed procedure to find GCD of 874, 538, 772, 950?

You can find a detailed procedure to find GCD of 874, 538, 772, 950 on our page.

3. How to find GCD of 874, 538, 772, 950 on a calculator?

You can find the GCD of 874, 538, 772, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.