GCD of 302, 148, 15, 900 Calculator

Given Input numbers are 302, 148, 15, 900

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 302, 148, 15, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 148, 15, 900 is 1.

Therefore, GCD of numbers 302, 148, 15, 900 is 1

Given Input Data is 302, 148, 15, 900

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 15 is 3 x 5

Prime Factorization of 900 is 2 x 2 x 3 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(302, 148) = 22348

GCD(302, 148) = ( 302 x 148 ) / 22348

GCD(302, 148) = 44696 / 22348

GCD(302, 148) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 302, 148, 15, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 942, 96, 811
• GCD of 276, 212, 45, 943
• GCD of 343, 714, 59, 887
• GCD of 147, 128, 34, 990
• GCD of 776, 501, 81, 393

1. What is the GCD of 302, 148, 15, 900?

GCD of 302, 148, 15, 900 is 1

2. Where do I get the detailed procedure to find GCD of 302, 148, 15, 900?

You can find a detailed procedure to find GCD of 302, 148, 15, 900 on our page.

3. How to find GCD of 302, 148, 15, 900 on a calculator?

You can find the GCD of 302, 148, 15, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.