GCD of 146, 608, 289, 858 Calculator

Given Input numbers are 146, 608, 289, 858

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 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Greatest Common Divisior

We found the divisors of 146, 608, 289, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 608, 289, 858 is 1.

Therefore, GCD of numbers 146, 608, 289, 858 is 1

Given Input Data is 146, 608, 289, 858

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 289 is 17 x 17

Prime Factorization of 858 is 2 x 3 x 11 x 13

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, 608) = 44384

GCD(146, 608) = ( 146 x 608 ) / 44384

GCD(146, 608) = 88768 / 44384

GCD(146, 608) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

GCD of 146, 608, 289, 858 is 1

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1. What is the GCD of 146, 608, 289, 858?

GCD of 146, 608, 289, 858 is 1

2. Where do I get the detailed procedure to find GCD of 146, 608, 289, 858?

You can find a detailed procedure to find GCD of 146, 608, 289, 858 on our page.

3. How to find GCD of 146, 608, 289, 858 on a calculator?

You can find the GCD of 146, 608, 289, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.