GCD of 552, 816, 914, 347 Calculator

Given Input numbers are 552, 816, 914, 347

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Greatest Common Divisior

We found the divisors of 552, 816, 914, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 816, 914, 347 is 1.

Therefore, GCD of numbers 552, 816, 914, 347 is 1

Given Input Data is 552, 816, 914, 347

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 914 is 2 x 457

Prime Factorization of 347 is 347

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(552, 816) = 18768

GCD(552, 816) = ( 552 x 816 ) / 18768

GCD(552, 816) = 450432 / 18768

GCD(552, 816) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 914

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

LCM(24, 914) = 10968

GCD(24, 914) = ( 24 x 914 ) / 10968

GCD(24, 914) = 21936 / 10968

GCD(24, 914) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 347

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

LCM(2, 347) = 694

GCD(2, 347) = ( 2 x 347 ) / 694

GCD(2, 347) = 694 / 694

GCD(2, 347) = 1

GCD of 552, 816, 914, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 127, 494, 526
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• GCD of 342, 900, 491, 719
• GCD of 861, 460, 220, 589
• GCD of 276, 239, 898, 592

1. What is the GCD of 552, 816, 914, 347?

GCD of 552, 816, 914, 347 is 1

2. Where do I get the detailed procedure to find GCD of 552, 816, 914, 347?

You can find a detailed procedure to find GCD of 552, 816, 914, 347 on our page.

3. How to find GCD of 552, 816, 914, 347 on a calculator?

You can find the GCD of 552, 816, 914, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.