GCD of 575, 300, 841, 742 Calculator

Given Input numbers are 575, 300, 841, 742

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

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

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 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 575, 300, 841, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 300, 841, 742 is 1.

Therefore, GCD of numbers 575, 300, 841, 742 is 1

Given Input Data is 575, 300, 841, 742

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

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 841 is 29 x 29

Prime Factorization of 742 is 2 x 7 x 53

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(575, 300) = 6900

GCD(575, 300) = ( 575 x 300 ) / 6900

GCD(575, 300) = 172500 / 6900

GCD(575, 300) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 841

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

LCM(25, 841) = 21025

GCD(25, 841) = ( 25 x 841 ) / 21025

GCD(25, 841) = 21025 / 21025

GCD(25, 841) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 575, 300, 841, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 257, 314, 189
• GCD of 366, 216, 525, 276
• GCD of 582, 695, 320, 527
• GCD of 329, 781, 278, 345
• GCD of 744, 626, 558, 745

1. What is the GCD of 575, 300, 841, 742?

GCD of 575, 300, 841, 742 is 1

2. Where do I get the detailed procedure to find GCD of 575, 300, 841, 742?

You can find a detailed procedure to find GCD of 575, 300, 841, 742 on our page.

3. How to find GCD of 575, 300, 841, 742 on a calculator?

You can find the GCD of 575, 300, 841, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.