GCD of 300, 414, 56, 971 Calculator

Given Input numbers are 300, 414, 56, 971

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 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 300, 414, 56, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 414, 56, 971 is 1.

Therefore, GCD of numbers 300, 414, 56, 971 is 1

Given Input Data is 300, 414, 56, 971

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 414 is 2 x 3 x 3 x 23

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 971 is 971

The above numbers do not have any common prime factor. So GCD is 1

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, 414) = 20700

GCD(300, 414) = ( 300 x 414 ) / 20700

GCD(300, 414) = 124200 / 20700

GCD(300, 414) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 56

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

LCM(6, 56) = 168

GCD(6, 56) = ( 6 x 56 ) / 168

GCD(6, 56) = 336 / 168

GCD(6, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

GCD of 300, 414, 56, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 923, 54, 225
• GCD of 558, 798, 25, 848
• GCD of 493, 645, 24, 775
• GCD of 149, 604, 82, 670
• GCD of 546, 771, 83, 599

1. What is the GCD of 300, 414, 56, 971?

GCD of 300, 414, 56, 971 is 1

2. Where do I get the detailed procedure to find GCD of 300, 414, 56, 971?

You can find a detailed procedure to find GCD of 300, 414, 56, 971 on our page.

3. How to find GCD of 300, 414, 56, 971 on a calculator?

You can find the GCD of 300, 414, 56, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.