GCD of 759, 228, 63, 914 Calculator

Given Input numbers are 759, 228, 63, 914

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 914

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

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 759, 228, 63, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 228, 63, 914 is 1.

Therefore, GCD of numbers 759, 228, 63, 914 is 1

Given Input Data is 759, 228, 63, 914

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 914 is 2 x 457

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(759, 228) = 57684

GCD(759, 228) = ( 759 x 228 ) / 57684

GCD(759, 228) = 173052 / 57684

GCD(759, 228) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 63

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

LCM(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

GCD(3, 63) = 189 / 63

GCD(3, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 914

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

LCM(3, 914) = 2742

GCD(3, 914) = ( 3 x 914 ) / 2742

GCD(3, 914) = 2742 / 2742

GCD(3, 914) = 1

GCD of 759, 228, 63, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 782, 24, 523
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• GCD of 669, 900, 32, 489
• GCD of 393, 286, 66, 304

1. What is the GCD of 759, 228, 63, 914?

GCD of 759, 228, 63, 914 is 1

2. Where do I get the detailed procedure to find GCD of 759, 228, 63, 914?

You can find a detailed procedure to find GCD of 759, 228, 63, 914 on our page.

3. How to find GCD of 759, 228, 63, 914 on a calculator?

You can find the GCD of 759, 228, 63, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.