GCD of 60, 277, 259, 225 Calculator

Given Input numbers are 60, 277, 259, 225

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

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 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

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

Greatest Common Divisior

We found the divisors of 60, 277, 259, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 277, 259, 225 is 1.

Therefore, GCD of numbers 60, 277, 259, 225 is 1

Given Input Data is 60, 277, 259, 225

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

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

Prime Factorization of 277 is 277

Prime Factorization of 259 is 7 x 37

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

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(60, 277) = 16620

GCD(60, 277) = ( 60 x 277 ) / 16620

GCD(60, 277) = 16620 / 16620

GCD(60, 277) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 60, 277, 259, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 497, 280, 684
• GCD of 82, 827, 702, 302
• GCD of 49, 915, 354, 730
• GCD of 86, 637, 257, 792
• GCD of 64, 890, 364, 895

1. What is the GCD of 60, 277, 259, 225?

GCD of 60, 277, 259, 225 is 1

2. Where do I get the detailed procedure to find GCD of 60, 277, 259, 225?

You can find a detailed procedure to find GCD of 60, 277, 259, 225 on our page.

3. How to find GCD of 60, 277, 259, 225 on a calculator?

You can find the GCD of 60, 277, 259, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.