GCD of 45, 654, 475, 354 Calculator

Given Input numbers are 45, 654, 475, 354

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

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 354

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

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

Greatest Common Divisior

We found the divisors of 45, 654, 475, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 654, 475, 354 is 1.

Therefore, GCD of numbers 45, 654, 475, 354 is 1

Given Input Data is 45, 654, 475, 354

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 354 is 2 x 3 x 59

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(45, 654) = 9810

GCD(45, 654) = ( 45 x 654 ) / 9810

GCD(45, 654) = 29430 / 9810

GCD(45, 654) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 475

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

LCM(3, 475) = 1425

GCD(3, 475) = ( 3 x 475 ) / 1425

GCD(3, 475) = 1425 / 1425

GCD(3, 475) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 45, 654, 475, 354 is 1

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• GCD of 34, 839, 473, 736
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1. What is the GCD of 45, 654, 475, 354?

GCD of 45, 654, 475, 354 is 1

2. Where do I get the detailed procedure to find GCD of 45, 654, 475, 354?

You can find a detailed procedure to find GCD of 45, 654, 475, 354 on our page.

3. How to find GCD of 45, 654, 475, 354 on a calculator?

You can find the GCD of 45, 654, 475, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.