GCD of 253, 314, 985, 296 Calculator

Given Input numbers are 253, 314, 985, 296

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

Divisors of 253

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

1, 11, 23, 253

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 253, 314, 985, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 314, 985, 296 is 1.

Therefore, GCD of numbers 253, 314, 985, 296 is 1

Given Input Data is 253, 314, 985, 296

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 314 is 2 x 157

Prime Factorization of 985 is 5 x 197

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(253, 314) = 79442

GCD(253, 314) = ( 253 x 314 ) / 79442

GCD(253, 314) = 79442 / 79442

GCD(253, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 253, 314, 985, 296 is 1

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1. What is the GCD of 253, 314, 985, 296?

GCD of 253, 314, 985, 296 is 1

2. Where do I get the detailed procedure to find GCD of 253, 314, 985, 296?

You can find a detailed procedure to find GCD of 253, 314, 985, 296 on our page.

3. How to find GCD of 253, 314, 985, 296 on a calculator?

You can find the GCD of 253, 314, 985, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.