GCD of 966, 536, 126, 894 Calculator

Given Input numbers are 966, 536, 126, 894

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

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 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 966, 536, 126, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 536, 126, 894 is 2.

Therefore, GCD of numbers 966, 536, 126, 894 is 2

Given Input Data is 966, 536, 126, 894

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

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 894 is 2 x 3 x 149

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(966, 536) = 258888

GCD(966, 536) = ( 966 x 536 ) / 258888

GCD(966, 536) = 517776 / 258888

GCD(966, 536) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

GCD of 966, 536, 126, 894 is 2

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1. What is the GCD of 966, 536, 126, 894?

GCD of 966, 536, 126, 894 is 2

2. Where do I get the detailed procedure to find GCD of 966, 536, 126, 894?

You can find a detailed procedure to find GCD of 966, 536, 126, 894 on our page.

3. How to find GCD of 966, 536, 126, 894 on a calculator?

You can find the GCD of 966, 536, 126, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.