GCD of 349, 376, 47, 452 Calculator

Given Input numbers are 349, 376, 47, 452

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 349, 376, 47, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 376, 47, 452 is 1.

Therefore, GCD of numbers 349, 376, 47, 452 is 1

Given Input Data is 349, 376, 47, 452

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

Prime Factorization of 349 is 349

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 47 is 47

Prime Factorization of 452 is 2 x 2 x 113

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(349, 376) = 131224

GCD(349, 376) = ( 349 x 376 ) / 131224

GCD(349, 376) = 131224 / 131224

GCD(349, 376) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

GCD of 349, 376, 47, 452 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 404, 96, 228
• GCD of 640, 917, 23, 664
• GCD of 989, 582, 50, 600
• GCD of 352, 983, 48, 817
• GCD of 473, 420, 67, 932

1. What is the GCD of 349, 376, 47, 452?

GCD of 349, 376, 47, 452 is 1

2. Where do I get the detailed procedure to find GCD of 349, 376, 47, 452?

You can find a detailed procedure to find GCD of 349, 376, 47, 452 on our page.

3. How to find GCD of 349, 376, 47, 452 on a calculator?

You can find the GCD of 349, 376, 47, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.