GCD of 300, 856, 970, 236 Calculator

Given Input numbers are 300, 856, 970, 236

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 856

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

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 300, 856, 970, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 856, 970, 236 is 2.

Therefore, GCD of numbers 300, 856, 970, 236 is 2

Given Input Data is 300, 856, 970, 236

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 856 is 2 x 2 x 2 x 107

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 236 is 2 x 2 x 59

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, 856) = 64200

GCD(300, 856) = ( 300 x 856 ) / 64200

GCD(300, 856) = 256800 / 64200

GCD(300, 856) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 970

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

LCM(4, 970) = 1940

GCD(4, 970) = ( 4 x 970 ) / 1940

GCD(4, 970) = 3880 / 1940

GCD(4, 970) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 236

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

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

GCD(2, 236) = 472 / 236

GCD(2, 236) = 2

GCD of 300, 856, 970, 236 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 594, 663, 827
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• GCD of 406, 388, 852, 721
• GCD of 982, 301, 237, 945

1. What is the GCD of 300, 856, 970, 236?

GCD of 300, 856, 970, 236 is 2

2. Where do I get the detailed procedure to find GCD of 300, 856, 970, 236?

You can find a detailed procedure to find GCD of 300, 856, 970, 236 on our page.

3. How to find GCD of 300, 856, 970, 236 on a calculator?

You can find the GCD of 300, 856, 970, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.