GCD of 320, 307, 135, 600 Calculator

Given Input numbers are 320, 307, 135, 600

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

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

Greatest Common Divisior

We found the divisors of 320, 307, 135, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 307, 135, 600 is 1.

Therefore, GCD of numbers 320, 307, 135, 600 is 1

Given Input Data is 320, 307, 135, 600

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 307 is 307

Prime Factorization of 135 is 3 x 3 x 3 x 5

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

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(320, 307) = 98240

GCD(320, 307) = ( 320 x 307 ) / 98240

GCD(320, 307) = 98240 / 98240

GCD(320, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 320, 307, 135, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 877, 559, 221
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• GCD of 332, 145, 278, 548
• GCD of 320, 624, 624, 908
• GCD of 244, 767, 912, 674

1. What is the GCD of 320, 307, 135, 600?

GCD of 320, 307, 135, 600 is 1

2. Where do I get the detailed procedure to find GCD of 320, 307, 135, 600?

You can find a detailed procedure to find GCD of 320, 307, 135, 600 on our page.

3. How to find GCD of 320, 307, 135, 600 on a calculator?

You can find the GCD of 320, 307, 135, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.