GCD of 945, 228, 237 Calculator

Given Input numbers are 945, 228, 237

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Greatest Common Divisior

We found the divisors of 945, 228, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 228, 237 is 3.

Therefore, GCD of numbers 945, 228, 237 is 3

Given Input Data is 945, 228, 237

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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

Prime Factorization of 237 is 3 x 79

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(945, 228) = 71820

GCD(945, 228) = ( 945 x 228 ) / 71820

GCD(945, 228) = 215460 / 71820

GCD(945, 228) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 237

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

LCM(3, 237) = 237

GCD(3, 237) = ( 3 x 237 ) / 237

GCD(3, 237) = 711 / 237

GCD(3, 237) = 3

GCD of 945, 228, 237 is 3

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1. What is the GCD of 945, 228, 237?

GCD of 945, 228, 237 is 3

2. Where do I get the detailed procedure to find GCD of 945, 228, 237?

You can find a detailed procedure to find GCD of 945, 228, 237 on our page.

3. How to find GCD of 945, 228, 237 on a calculator?

You can find the GCD of 945, 228, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.