GCD of 230, 152, 600, 359 Calculator

Given Input numbers are 230, 152, 600, 359

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 230, 152, 600, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 152, 600, 359 is 1.

Therefore, GCD of numbers 230, 152, 600, 359 is 1

Given Input Data is 230, 152, 600, 359

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 359 is 359

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(230, 152) = 17480

GCD(230, 152) = ( 230 x 152 ) / 17480

GCD(230, 152) = 34960 / 17480

GCD(230, 152) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 359

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

LCM(2, 359) = 718

GCD(2, 359) = ( 2 x 359 ) / 718

GCD(2, 359) = 718 / 718

GCD(2, 359) = 1

GCD of 230, 152, 600, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 354, 111, 270
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• GCD of 650, 137, 998, 125
• GCD of 630, 660, 738, 997
• GCD of 679, 231, 834, 515

1. What is the GCD of 230, 152, 600, 359?

GCD of 230, 152, 600, 359 is 1

2. Where do I get the detailed procedure to find GCD of 230, 152, 600, 359?

You can find a detailed procedure to find GCD of 230, 152, 600, 359 on our page.

3. How to find GCD of 230, 152, 600, 359 on a calculator?

You can find the GCD of 230, 152, 600, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.