GCD of 66, 936, 976, 542 Calculator

Given Input numbers are 66, 936, 976, 542

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 66, 936, 976, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 936, 976, 542 is 2.

Therefore, GCD of numbers 66, 936, 976, 542 is 2

Given Input Data is 66, 936, 976, 542

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 542 is 2 x 271

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(66, 936) = 10296

GCD(66, 936) = ( 66 x 936 ) / 10296

GCD(66, 936) = 61776 / 10296

GCD(66, 936) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 976

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

LCM(6, 976) = 2928

GCD(6, 976) = ( 6 x 976 ) / 2928

GCD(6, 976) = 5856 / 2928

GCD(6, 976) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 542

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

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

GCD(2, 542) = 1084 / 542

GCD(2, 542) = 2

GCD of 66, 936, 976, 542 is 2

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1. What is the GCD of 66, 936, 976, 542?

GCD of 66, 936, 976, 542 is 2

2. Where do I get the detailed procedure to find GCD of 66, 936, 976, 542?

You can find a detailed procedure to find GCD of 66, 936, 976, 542 on our page.

3. How to find GCD of 66, 936, 976, 542 on a calculator?

You can find the GCD of 66, 936, 976, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.