GCD of 476, 456, 737, 133 Calculator

Given Input numbers are 476, 456, 737, 133

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 476, 456, 737, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 456, 737, 133 is 1.

Therefore, GCD of numbers 476, 456, 737, 133 is 1

Given Input Data is 476, 456, 737, 133

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 737 is 11 x 67

Prime Factorization of 133 is 7 x 19

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(476, 456) = 54264

GCD(476, 456) = ( 476 x 456 ) / 54264

GCD(476, 456) = 217056 / 54264

GCD(476, 456) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 737

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

LCM(4, 737) = 2948

GCD(4, 737) = ( 4 x 737 ) / 2948

GCD(4, 737) = 2948 / 2948

GCD(4, 737) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 476, 456, 737, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 648, 878, 640
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• GCD of 243, 527, 163, 605
• GCD of 763, 156, 363, 311

1. What is the GCD of 476, 456, 737, 133?

GCD of 476, 456, 737, 133 is 1

2. Where do I get the detailed procedure to find GCD of 476, 456, 737, 133?

You can find a detailed procedure to find GCD of 476, 456, 737, 133 on our page.

3. How to find GCD of 476, 456, 737, 133 on a calculator?

You can find the GCD of 476, 456, 737, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.