GCD of 120, 593, 35, 898 Calculator

Given Input numbers are 120, 593, 35, 898

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 898

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

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 120, 593, 35, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 593, 35, 898 is 1.

Therefore, GCD of numbers 120, 593, 35, 898 is 1

Given Input Data is 120, 593, 35, 898

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 593 is 593

Prime Factorization of 35 is 5 x 7

Prime Factorization of 898 is 2 x 449

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(120, 593) = 71160

GCD(120, 593) = ( 120 x 593 ) / 71160

GCD(120, 593) = 71160 / 71160

GCD(120, 593) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 120, 593, 35, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 839, 39, 293
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• GCD of 805, 288, 78, 358

1. What is the GCD of 120, 593, 35, 898?

GCD of 120, 593, 35, 898 is 1

2. Where do I get the detailed procedure to find GCD of 120, 593, 35, 898?

You can find a detailed procedure to find GCD of 120, 593, 35, 898 on our page.

3. How to find GCD of 120, 593, 35, 898 on a calculator?

You can find the GCD of 120, 593, 35, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.