GCD of 253, 249, 64, 342 Calculator

Given Input numbers are 253, 249, 64, 342

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 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 253, 249, 64, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 249, 64, 342 is 1.

Therefore, GCD of numbers 253, 249, 64, 342 is 1

Given Input Data is 253, 249, 64, 342

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 249 is 3 x 83

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 342 is 2 x 3 x 3 x 19

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, 249) = 62997

GCD(253, 249) = ( 253 x 249 ) / 62997

GCD(253, 249) = 62997 / 62997

GCD(253, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 253, 249, 64, 342 is 1

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1. What is the GCD of 253, 249, 64, 342?

GCD of 253, 249, 64, 342 is 1

2. Where do I get the detailed procedure to find GCD of 253, 249, 64, 342?

You can find a detailed procedure to find GCD of 253, 249, 64, 342 on our page.

3. How to find GCD of 253, 249, 64, 342 on a calculator?

You can find the GCD of 253, 249, 64, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.