GCD of 916, 409, 60, 275 Calculator

Given Input numbers are 916, 409, 60, 275

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

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 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 916, 409, 60, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 409, 60, 275 is 1.

Therefore, GCD of numbers 916, 409, 60, 275 is 1

Given Input Data is 916, 409, 60, 275

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 409 is 409

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

Prime Factorization of 275 is 5 x 5 x 11

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(916, 409) = 374644

GCD(916, 409) = ( 916 x 409 ) / 374644

GCD(916, 409) = 374644 / 374644

GCD(916, 409) = 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 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 916, 409, 60, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 411, 30, 385
• GCD of 700, 486, 24, 185
• GCD of 530, 940, 36, 325
• GCD of 265, 588, 27, 961
• GCD of 169, 530, 10, 969

1. What is the GCD of 916, 409, 60, 275?

GCD of 916, 409, 60, 275 is 1

2. Where do I get the detailed procedure to find GCD of 916, 409, 60, 275?

You can find a detailed procedure to find GCD of 916, 409, 60, 275 on our page.

3. How to find GCD of 916, 409, 60, 275 on a calculator?

You can find the GCD of 916, 409, 60, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.