GCD of 900, 954, 124, 216 Calculator

Given Input numbers are 900, 954, 124, 216

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Greatest Common Divisior

We found the divisors of 900, 954, 124, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 954, 124, 216 is 2.

Therefore, GCD of numbers 900, 954, 124, 216 is 2

Given Input Data is 900, 954, 124, 216

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(900, 954) = 47700

GCD(900, 954) = ( 900 x 954 ) / 47700

GCD(900, 954) = 858600 / 47700

GCD(900, 954) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 124

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

LCM(18, 124) = 1116

GCD(18, 124) = ( 18 x 124 ) / 1116

GCD(18, 124) = 2232 / 1116

GCD(18, 124) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 216

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

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

GCD(2, 216) = 432 / 216

GCD(2, 216) = 2

GCD of 900, 954, 124, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 121, 181, 443
• GCD of 550, 281, 225, 414
• GCD of 224, 627, 260, 895
• GCD of 708, 427, 391, 110
• GCD of 662, 204, 221, 687

1. What is the GCD of 900, 954, 124, 216?

GCD of 900, 954, 124, 216 is 2

2. Where do I get the detailed procedure to find GCD of 900, 954, 124, 216?

You can find a detailed procedure to find GCD of 900, 954, 124, 216 on our page.

3. How to find GCD of 900, 954, 124, 216 on a calculator?

You can find the GCD of 900, 954, 124, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.