GCD of 352, 504, 414, 427 Calculator

Given Input numbers are 352, 504, 414, 427

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 352, 504, 414, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 504, 414, 427 is 1.

Therefore, GCD of numbers 352, 504, 414, 427 is 1

Given Input Data is 352, 504, 414, 427

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 427 is 7 x 61

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(352, 504) = 22176

GCD(352, 504) = ( 352 x 504 ) / 22176

GCD(352, 504) = 177408 / 22176

GCD(352, 504) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 414

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

LCM(8, 414) = 1656

GCD(8, 414) = ( 8 x 414 ) / 1656

GCD(8, 414) = 3312 / 1656

GCD(8, 414) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 427

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

LCM(2, 427) = 854

GCD(2, 427) = ( 2 x 427 ) / 854

GCD(2, 427) = 854 / 854

GCD(2, 427) = 1

GCD of 352, 504, 414, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 227, 680, 871
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• GCD of 725, 776, 424, 494
• GCD of 551, 508, 494, 683
• GCD of 415, 274, 627, 921

1. What is the GCD of 352, 504, 414, 427?

GCD of 352, 504, 414, 427 is 1

2. Where do I get the detailed procedure to find GCD of 352, 504, 414, 427?

You can find a detailed procedure to find GCD of 352, 504, 414, 427 on our page.

3. How to find GCD of 352, 504, 414, 427 on a calculator?

You can find the GCD of 352, 504, 414, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.