GCD of 742, 466, 45, 417 Calculator

Given Input numbers are 742, 466, 45, 417

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

Divisors of 742

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

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 742, 466, 45, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 466, 45, 417 is 1.

Therefore, GCD of numbers 742, 466, 45, 417 is 1

Given Input Data is 742, 466, 45, 417

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 466 is 2 x 233

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 417 is 3 x 139

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(742, 466) = 172886

GCD(742, 466) = ( 742 x 466 ) / 172886

GCD(742, 466) = 345772 / 172886

GCD(742, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

GCD of 742, 466, 45, 417 is 1

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1. What is the GCD of 742, 466, 45, 417?

GCD of 742, 466, 45, 417 is 1

2. Where do I get the detailed procedure to find GCD of 742, 466, 45, 417?

You can find a detailed procedure to find GCD of 742, 466, 45, 417 on our page.

3. How to find GCD of 742, 466, 45, 417 on a calculator?

You can find the GCD of 742, 466, 45, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.