GCD of 324, 870, 70, 300 Calculator

Given Input numbers are 324, 870, 70, 300

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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

Greatest Common Divisior

We found the divisors of 324, 870, 70, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 870, 70, 300 is 2.

Therefore, GCD of numbers 324, 870, 70, 300 is 2

Given Input Data is 324, 870, 70, 300

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 70 is 2 x 5 x 7

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

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(324, 870) = 46980

GCD(324, 870) = ( 324 x 870 ) / 46980

GCD(324, 870) = 281880 / 46980

GCD(324, 870) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 70

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

LCM(6, 70) = 210

GCD(6, 70) = ( 6 x 70 ) / 210

GCD(6, 70) = 420 / 210

GCD(6, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

GCD of 324, 870, 70, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 901, 29, 864
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• GCD of 445, 230, 26, 967
• GCD of 655, 117, 53, 521
• GCD of 174, 632, 42, 249

1. What is the GCD of 324, 870, 70, 300?

GCD of 324, 870, 70, 300 is 2

2. Where do I get the detailed procedure to find GCD of 324, 870, 70, 300?

You can find a detailed procedure to find GCD of 324, 870, 70, 300 on our page.

3. How to find GCD of 324, 870, 70, 300 on a calculator?

You can find the GCD of 324, 870, 70, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.