GCD of 300, 480, 29, 651 Calculator

Given Input numbers are 300, 480, 29, 651

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 300, 480, 29, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 480, 29, 651 is 1.

Therefore, GCD of numbers 300, 480, 29, 651 is 1

Given Input Data is 300, 480, 29, 651

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 29 is 29

Prime Factorization of 651 is 3 x 7 x 31

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, 480) = 2400

GCD(300, 480) = ( 300 x 480 ) / 2400

GCD(300, 480) = 144000 / 2400

GCD(300, 480) = 60

Step2:

Here we consider the GCD from the above i.e. 60 as first number and the next as 29

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

LCM(60, 29) = 1740

GCD(60, 29) = ( 60 x 29 ) / 1740

GCD(60, 29) = 1740 / 1740

GCD(60, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 1

GCD of 300, 480, 29, 651 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 584, 49, 547
• GCD of 614, 138, 80, 985
• GCD of 950, 290, 20, 761
• GCD of 207, 591, 15, 475
• GCD of 666, 391, 62, 747

1. What is the GCD of 300, 480, 29, 651?

GCD of 300, 480, 29, 651 is 1

2. Where do I get the detailed procedure to find GCD of 300, 480, 29, 651?

You can find a detailed procedure to find GCD of 300, 480, 29, 651 on our page.

3. How to find GCD of 300, 480, 29, 651 on a calculator?

You can find the GCD of 300, 480, 29, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.