GCD of 45, 877, 213, 916 Calculator

Given Input numbers are 45, 877, 213, 916

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 916

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

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 45, 877, 213, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 877, 213, 916 is 1.

Therefore, GCD of numbers 45, 877, 213, 916 is 1

Given Input Data is 45, 877, 213, 916

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 877 is 877

Prime Factorization of 213 is 3 x 71

Prime Factorization of 916 is 2 x 2 x 229

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(45, 877) = 39465

GCD(45, 877) = ( 45 x 877 ) / 39465

GCD(45, 877) = 39465 / 39465

GCD(45, 877) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 45, 877, 213, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 326, 444, 175
• GCD of 63, 537, 399, 740
• GCD of 70, 112, 297, 270
• GCD of 77, 625, 333, 539
• GCD of 57, 872, 229, 735

1. What is the GCD of 45, 877, 213, 916?

GCD of 45, 877, 213, 916 is 1

2. Where do I get the detailed procedure to find GCD of 45, 877, 213, 916?

You can find a detailed procedure to find GCD of 45, 877, 213, 916 on our page.

3. How to find GCD of 45, 877, 213, 916 on a calculator?

You can find the GCD of 45, 877, 213, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.