GCD of 912, 940, 25, 217 Calculator

Given Input numbers are 912, 940, 25, 217

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

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 912, 940, 25, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 940, 25, 217 is 1.

Therefore, GCD of numbers 912, 940, 25, 217 is 1

Given Input Data is 912, 940, 25, 217

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

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 25 is 5 x 5

Prime Factorization of 217 is 7 x 31

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(912, 940) = 214320

GCD(912, 940) = ( 912 x 940 ) / 214320

GCD(912, 940) = 857280 / 214320

GCD(912, 940) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 25

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

LCM(4, 25) = 100

GCD(4, 25) = ( 4 x 25 ) / 100

GCD(4, 25) = 100 / 100

GCD(4, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 912, 940, 25, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 848, 19, 137
• GCD of 925, 285, 56, 293
• GCD of 554, 228, 91, 829
• GCD of 221, 806, 50, 681
• GCD of 509, 577, 10, 686

1. What is the GCD of 912, 940, 25, 217?

GCD of 912, 940, 25, 217 is 1

2. Where do I get the detailed procedure to find GCD of 912, 940, 25, 217?

You can find a detailed procedure to find GCD of 912, 940, 25, 217 on our page.

3. How to find GCD of 912, 940, 25, 217 on a calculator?

You can find the GCD of 912, 940, 25, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.