GCD of 153, 160, 633, 300 Calculator

Given Input numbers are 153, 160, 633, 300

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 153, 160, 633, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 160, 633, 300 is 1.

Therefore, GCD of numbers 153, 160, 633, 300 is 1

Given Input Data is 153, 160, 633, 300

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 633 is 3 x 211

Prime Factorization of 300 is 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(153, 160) = 24480

GCD(153, 160) = ( 153 x 160 ) / 24480

GCD(153, 160) = 24480 / 24480

GCD(153, 160) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 153, 160, 633, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 614, 784, 470
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• GCD of 265, 299, 647, 270
• GCD of 788, 304, 588, 373

1. What is the GCD of 153, 160, 633, 300?

GCD of 153, 160, 633, 300 is 1

2. Where do I get the detailed procedure to find GCD of 153, 160, 633, 300?

You can find a detailed procedure to find GCD of 153, 160, 633, 300 on our page.

3. How to find GCD of 153, 160, 633, 300 on a calculator?

You can find the GCD of 153, 160, 633, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.