GCD of 440, 916, 45, 955 Calculator

Given Input numbers are 440, 916, 45, 955

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 440, 916, 45, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 916, 45, 955 is 1.

Therefore, GCD of numbers 440, 916, 45, 955 is 1

Given Input Data is 440, 916, 45, 955

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 955 is 5 x 191

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(440, 916) = 100760

GCD(440, 916) = ( 440 x 916 ) / 100760

GCD(440, 916) = 403040 / 100760

GCD(440, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 45

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

LCM(4, 45) = 180

GCD(4, 45) = ( 4 x 45 ) / 180

GCD(4, 45) = 180 / 180

GCD(4, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

GCD of 440, 916, 45, 955 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 385, 93, 764
• GCD of 886, 143, 32, 242
• GCD of 481, 716, 27, 619
• GCD of 502, 378, 99, 687
• GCD of 568, 441, 18, 994

1. What is the GCD of 440, 916, 45, 955?

GCD of 440, 916, 45, 955 is 1

2. Where do I get the detailed procedure to find GCD of 440, 916, 45, 955?

You can find a detailed procedure to find GCD of 440, 916, 45, 955 on our page.

3. How to find GCD of 440, 916, 45, 955 on a calculator?

You can find the GCD of 440, 916, 45, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.