GCD of 375, 550, 682, 240 Calculator

Given Input numbers are 375, 550, 682, 240

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

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 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

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

Greatest Common Divisior

We found the divisors of 375, 550, 682, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 550, 682, 240 is 1.

Therefore, GCD of numbers 375, 550, 682, 240 is 1

Given Input Data is 375, 550, 682, 240

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 240 is 2 x 2 x 2 x 2 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(375, 550) = 8250

GCD(375, 550) = ( 375 x 550 ) / 8250

GCD(375, 550) = 206250 / 8250

GCD(375, 550) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 682

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

LCM(25, 682) = 17050

GCD(25, 682) = ( 25 x 682 ) / 17050

GCD(25, 682) = 17050 / 17050

GCD(25, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 375, 550, 682, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 597, 724, 177
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1. What is the GCD of 375, 550, 682, 240?

GCD of 375, 550, 682, 240 is 1

2. Where do I get the detailed procedure to find GCD of 375, 550, 682, 240?

You can find a detailed procedure to find GCD of 375, 550, 682, 240 on our page.

3. How to find GCD of 375, 550, 682, 240 on a calculator?

You can find the GCD of 375, 550, 682, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.