GCD of 300, 430, 972, 876 Calculator

Given Input numbers are 300, 430, 972, 876

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 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 300, 430, 972, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 430, 972, 876 is 2.

Therefore, GCD of numbers 300, 430, 972, 876 is 2

Given Input Data is 300, 430, 972, 876

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 430 is 2 x 5 x 43

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 876 is 2 x 2 x 3 x 73

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, 430) = 12900

GCD(300, 430) = ( 300 x 430 ) / 12900

GCD(300, 430) = 129000 / 12900

GCD(300, 430) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 972

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

LCM(10, 972) = 4860

GCD(10, 972) = ( 10 x 972 ) / 4860

GCD(10, 972) = 9720 / 4860

GCD(10, 972) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 876

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

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

GCD(2, 876) = 1752 / 876

GCD(2, 876) = 2

GCD of 300, 430, 972, 876 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 376, 696, 532
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• GCD of 152, 121, 545, 301

1. What is the GCD of 300, 430, 972, 876?

GCD of 300, 430, 972, 876 is 2

2. Where do I get the detailed procedure to find GCD of 300, 430, 972, 876?

You can find a detailed procedure to find GCD of 300, 430, 972, 876 on our page.

3. How to find GCD of 300, 430, 972, 876 on a calculator?

You can find the GCD of 300, 430, 972, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.