GCD of 918, 966, 44, 938 Calculator

Given Input numbers are 918, 966, 44, 938

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 918, 966, 44, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 966, 44, 938 is 2.

Therefore, GCD of numbers 918, 966, 44, 938 is 2

Given Input Data is 918, 966, 44, 938

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 938 is 2 x 7 x 67

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(918, 966) = 147798

GCD(918, 966) = ( 918 x 966 ) / 147798

GCD(918, 966) = 886788 / 147798

GCD(918, 966) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 44

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

LCM(6, 44) = 132

GCD(6, 44) = ( 6 x 44 ) / 132

GCD(6, 44) = 264 / 132

GCD(6, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

GCD of 918, 966, 44, 938 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 625, 42, 676
• GCD of 308, 694, 96, 544
• GCD of 642, 753, 27, 450
• GCD of 802, 995, 41, 427
• GCD of 654, 312, 80, 896

1. What is the GCD of 918, 966, 44, 938?

GCD of 918, 966, 44, 938 is 2

2. Where do I get the detailed procedure to find GCD of 918, 966, 44, 938?

You can find a detailed procedure to find GCD of 918, 966, 44, 938 on our page.

3. How to find GCD of 918, 966, 44, 938 on a calculator?

You can find the GCD of 918, 966, 44, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.