GCD of 457, 675, 33, 742 Calculator

Given Input numbers are 457, 675, 33, 742

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

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 457, 675, 33, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 675, 33, 742 is 1.

Therefore, GCD of numbers 457, 675, 33, 742 is 1

Given Input Data is 457, 675, 33, 742

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

Prime Factorization of 457 is 457

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 33 is 3 x 11

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(457, 675) = 308475

GCD(457, 675) = ( 457 x 675 ) / 308475

GCD(457, 675) = 308475 / 308475

GCD(457, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 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 457, 675, 33, 742 is 1

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• GCD of 438, 747, 67, 341
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• GCD of 860, 270, 19, 795

1. What is the GCD of 457, 675, 33, 742?

GCD of 457, 675, 33, 742 is 1

2. Where do I get the detailed procedure to find GCD of 457, 675, 33, 742?

You can find a detailed procedure to find GCD of 457, 675, 33, 742 on our page.

3. How to find GCD of 457, 675, 33, 742 on a calculator?

You can find the GCD of 457, 675, 33, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.