GCD of 851, 224, 178, 253 Calculator

Given Input numbers are 851, 224, 178, 253

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

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

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 851, 224, 178, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 224, 178, 253 is 1.

Therefore, GCD of numbers 851, 224, 178, 253 is 1

Given Input Data is 851, 224, 178, 253

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

Prime Factorization of 851 is 23 x 37

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

Prime Factorization of 178 is 2 x 89

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(851, 224) = 190624

GCD(851, 224) = ( 851 x 224 ) / 190624

GCD(851, 224) = 190624 / 190624

GCD(851, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 851, 224, 178, 253 is 1

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1. What is the GCD of 851, 224, 178, 253?

GCD of 851, 224, 178, 253 is 1

2. Where do I get the detailed procedure to find GCD of 851, 224, 178, 253?

You can find a detailed procedure to find GCD of 851, 224, 178, 253 on our page.

3. How to find GCD of 851, 224, 178, 253 on a calculator?

You can find the GCD of 851, 224, 178, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.