GCD of 942, 384, 59, 225 Calculator

Given Input numbers are 942, 384, 59, 225

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 942, 384, 59, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 384, 59, 225 is 1.

Therefore, GCD of numbers 942, 384, 59, 225 is 1

Given Input Data is 942, 384, 59, 225

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 59 is 59

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(942, 384) = 60288

GCD(942, 384) = ( 942 x 384 ) / 60288

GCD(942, 384) = 361728 / 60288

GCD(942, 384) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 59

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

LCM(6, 59) = 354

GCD(6, 59) = ( 6 x 59 ) / 354

GCD(6, 59) = 354 / 354

GCD(6, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 942, 384, 59, 225 is 1

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• GCD of 865, 767, 67, 200
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1. What is the GCD of 942, 384, 59, 225?

GCD of 942, 384, 59, 225 is 1

2. Where do I get the detailed procedure to find GCD of 942, 384, 59, 225?

You can find a detailed procedure to find GCD of 942, 384, 59, 225 on our page.

3. How to find GCD of 942, 384, 59, 225 on a calculator?

You can find the GCD of 942, 384, 59, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.