GCD of 950, 878, 72, 996 Calculator

Given Input numbers are 950, 878, 72, 996

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 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 950, 878, 72, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 878, 72, 996 is 2.

Therefore, GCD of numbers 950, 878, 72, 996 is 2

Given Input Data is 950, 878, 72, 996

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 878 is 2 x 439

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(950, 878) = 417050

GCD(950, 878) = ( 950 x 878 ) / 417050

GCD(950, 878) = 834100 / 417050

GCD(950, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

GCD of 950, 878, 72, 996 is 2

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1. What is the GCD of 950, 878, 72, 996?

GCD of 950, 878, 72, 996 is 2

2. Where do I get the detailed procedure to find GCD of 950, 878, 72, 996?

You can find a detailed procedure to find GCD of 950, 878, 72, 996 on our page.

3. How to find GCD of 950, 878, 72, 996 on a calculator?

You can find the GCD of 950, 878, 72, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.