GCD of 947, 880, 45, 303 Calculator

Given Input numbers are 947, 880, 45, 303

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

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 947, 880, 45, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 880, 45, 303 is 1.

Therefore, GCD of numbers 947, 880, 45, 303 is 1

Given Input Data is 947, 880, 45, 303

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

Prime Factorization of 947 is 947

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 303 is 3 x 101

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(947, 880) = 833360

GCD(947, 880) = ( 947 x 880 ) / 833360

GCD(947, 880) = 833360 / 833360

GCD(947, 880) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 947, 880, 45, 303 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 353, 66, 360
• GCD of 991, 918, 65, 439
• GCD of 450, 305, 55, 808
• GCD of 903, 759, 60, 839
• GCD of 304, 315, 31, 794

1. What is the GCD of 947, 880, 45, 303?

GCD of 947, 880, 45, 303 is 1

2. Where do I get the detailed procedure to find GCD of 947, 880, 45, 303?

You can find a detailed procedure to find GCD of 947, 880, 45, 303 on our page.

3. How to find GCD of 947, 880, 45, 303 on a calculator?

You can find the GCD of 947, 880, 45, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.