GCD of 300, 958, 52, 188 Calculator

Given Input numbers are 300, 958, 52, 188

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 300, 958, 52, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 958, 52, 188 is 2.

Therefore, GCD of numbers 300, 958, 52, 188 is 2

Given Input Data is 300, 958, 52, 188

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 958 is 2 x 479

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 188 is 2 x 2 x 47

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(300, 958) = 143700

GCD(300, 958) = ( 300 x 958 ) / 143700

GCD(300, 958) = 287400 / 143700

GCD(300, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 188

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

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

GCD(2, 188) = 376 / 188

GCD(2, 188) = 2

GCD of 300, 958, 52, 188 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 960, 72, 328
• GCD of 777, 498, 18, 721
• GCD of 643, 198, 68, 111
• GCD of 967, 895, 89, 128
• GCD of 959, 186, 22, 228

1. What is the GCD of 300, 958, 52, 188?

GCD of 300, 958, 52, 188 is 2

2. Where do I get the detailed procedure to find GCD of 300, 958, 52, 188?

You can find a detailed procedure to find GCD of 300, 958, 52, 188 on our page.

3. How to find GCD of 300, 958, 52, 188 on a calculator?

You can find the GCD of 300, 958, 52, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.