GCD of 300, 280, 747, 720 Calculator

Given Input numbers are 300, 280, 747, 720

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 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 300, 280, 747, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 280, 747, 720 is 1.

Therefore, GCD of numbers 300, 280, 747, 720 is 1

Given Input Data is 300, 280, 747, 720

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 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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, 280) = 4200

GCD(300, 280) = ( 300 x 280 ) / 4200

GCD(300, 280) = 84000 / 4200

GCD(300, 280) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 747

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

LCM(20, 747) = 14940

GCD(20, 747) = ( 20 x 747 ) / 14940

GCD(20, 747) = 14940 / 14940

GCD(20, 747) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 300, 280, 747, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 144, 668, 253
• GCD of 976, 274, 535, 493
• GCD of 875, 399, 252, 417
• GCD of 933, 485, 401, 946
• GCD of 375, 255, 564, 469

1. What is the GCD of 300, 280, 747, 720?

GCD of 300, 280, 747, 720 is 1

2. Where do I get the detailed procedure to find GCD of 300, 280, 747, 720?

You can find a detailed procedure to find GCD of 300, 280, 747, 720 on our page.

3. How to find GCD of 300, 280, 747, 720 on a calculator?

You can find the GCD of 300, 280, 747, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.