GCD of 932, 226, 224, 253 Calculator

Given Input numbers are 932, 226, 224, 253

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

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 932, 226, 224, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 226, 224, 253 is 1.

Therefore, GCD of numbers 932, 226, 224, 253 is 1

Given Input Data is 932, 226, 224, 253

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

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 226 is 2 x 113

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 253 is 11 x 23

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(932, 226) = 105316

GCD(932, 226) = ( 932 x 226 ) / 105316

GCD(932, 226) = 210632 / 105316

GCD(932, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 253

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

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

GCD(2, 253) = 506 / 506

GCD(2, 253) = 1

GCD of 932, 226, 224, 253 is 1

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1. What is the GCD of 932, 226, 224, 253?

GCD of 932, 226, 224, 253 is 1

2. Where do I get the detailed procedure to find GCD of 932, 226, 224, 253?

You can find a detailed procedure to find GCD of 932, 226, 224, 253 on our page.

3. How to find GCD of 932, 226, 224, 253 on a calculator?

You can find the GCD of 932, 226, 224, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.