GCD of 906, 354, 54, 745 Calculator

Given Input numbers are 906, 354, 54, 745

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 906, 354, 54, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 354, 54, 745 is 1.

Therefore, GCD of numbers 906, 354, 54, 745 is 1

Given Input Data is 906, 354, 54, 745

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 745 is 5 x 149

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(906, 354) = 53454

GCD(906, 354) = ( 906 x 354 ) / 53454

GCD(906, 354) = 320724 / 53454

GCD(906, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 54

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

LCM(6, 54) = 54

GCD(6, 54) = ( 6 x 54 ) / 54

GCD(6, 54) = 324 / 54

GCD(6, 54) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 745

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

LCM(6, 745) = 4470

GCD(6, 745) = ( 6 x 745 ) / 4470

GCD(6, 745) = 4470 / 4470

GCD(6, 745) = 1

GCD of 906, 354, 54, 745 is 1

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1. What is the GCD of 906, 354, 54, 745?

GCD of 906, 354, 54, 745 is 1

2. Where do I get the detailed procedure to find GCD of 906, 354, 54, 745?

You can find a detailed procedure to find GCD of 906, 354, 54, 745 on our page.

3. How to find GCD of 906, 354, 54, 745 on a calculator?

You can find the GCD of 906, 354, 54, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.