GCD of 146, 854, 45, 522 Calculator

Given Input numbers are 146, 854, 45, 522

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 146, 854, 45, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 854, 45, 522 is 1.

Therefore, GCD of numbers 146, 854, 45, 522 is 1

Given Input Data is 146, 854, 45, 522

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(146, 854) = 62342

GCD(146, 854) = ( 146 x 854 ) / 62342

GCD(146, 854) = 124684 / 62342

GCD(146, 854) = 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 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 146, 854, 45, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 475, 14, 517
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• GCD of 123, 915, 43, 933
• GCD of 350, 490, 50, 666

1. What is the GCD of 146, 854, 45, 522?

GCD of 146, 854, 45, 522 is 1

2. Where do I get the detailed procedure to find GCD of 146, 854, 45, 522?

You can find a detailed procedure to find GCD of 146, 854, 45, 522 on our page.

3. How to find GCD of 146, 854, 45, 522 on a calculator?

You can find the GCD of 146, 854, 45, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.