GCD of 253, 225, 60, 257 Calculator

Given Input numbers are 253, 225, 60, 257

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 225

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

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 253, 225, 60, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 225, 60, 257 is 1.

Therefore, GCD of numbers 253, 225, 60, 257 is 1

Given Input Data is 253, 225, 60, 257

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

Prime Factorization of 253 is 11 x 23

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 257 is 257

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, 225) = 56925

GCD(253, 225) = ( 253 x 225 ) / 56925

GCD(253, 225) = 56925 / 56925

GCD(253, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 253, 225, 60, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 570, 16, 999
• GCD of 772, 190, 54, 372
• GCD of 196, 757, 85, 866
• GCD of 517, 876, 67, 588
• GCD of 542, 236, 64, 775

1. What is the GCD of 253, 225, 60, 257?

GCD of 253, 225, 60, 257 is 1

2. Where do I get the detailed procedure to find GCD of 253, 225, 60, 257?

You can find a detailed procedure to find GCD of 253, 225, 60, 257 on our page.

3. How to find GCD of 253, 225, 60, 257 on a calculator?

You can find the GCD of 253, 225, 60, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.