GCD of 240, 550, 407, 750 Calculator

Given Input numbers are 240, 550, 407, 750

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 240, 550, 407, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 550, 407, 750 is 1.

Therefore, GCD of numbers 240, 550, 407, 750 is 1

Given Input Data is 240, 550, 407, 750

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 407 is 11 x 37

Prime Factorization of 750 is 2 x 3 x 5 x 5 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(240, 550) = 13200

GCD(240, 550) = ( 240 x 550 ) / 13200

GCD(240, 550) = 132000 / 13200

GCD(240, 550) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 407

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

LCM(10, 407) = 4070

GCD(10, 407) = ( 10 x 407 ) / 4070

GCD(10, 407) = 4070 / 4070

GCD(10, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 240, 550, 407, 750 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 574, 298, 367
• GCD of 146, 681, 874, 500
• GCD of 886, 712, 363, 436
• GCD of 180, 735, 434, 455
• GCD of 711, 102, 148, 196

1. What is the GCD of 240, 550, 407, 750?

GCD of 240, 550, 407, 750 is 1

2. Where do I get the detailed procedure to find GCD of 240, 550, 407, 750?

You can find a detailed procedure to find GCD of 240, 550, 407, 750 on our page.

3. How to find GCD of 240, 550, 407, 750 on a calculator?

You can find the GCD of 240, 550, 407, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.