GCD of 364, 898, 96, 145 Calculator

Given Input numbers are 364, 898, 96, 145

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 364, 898, 96, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 898, 96, 145 is 1.

Therefore, GCD of numbers 364, 898, 96, 145 is 1

Given Input Data is 364, 898, 96, 145

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 898 is 2 x 449

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 145 is 5 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(364, 898) = 163436

GCD(364, 898) = ( 364 x 898 ) / 163436

GCD(364, 898) = 326872 / 163436

GCD(364, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1

GCD of 364, 898, 96, 145 is 1

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1. What is the GCD of 364, 898, 96, 145?

GCD of 364, 898, 96, 145 is 1

2. Where do I get the detailed procedure to find GCD of 364, 898, 96, 145?

You can find a detailed procedure to find GCD of 364, 898, 96, 145 on our page.

3. How to find GCD of 364, 898, 96, 145 on a calculator?

You can find the GCD of 364, 898, 96, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.