GCD of 66, 942, 940, 336 Calculator

Given Input numbers are 66, 942, 940, 336

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 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 66, 942, 940, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 942, 940, 336 is 2.

Therefore, GCD of numbers 66, 942, 940, 336 is 2

Given Input Data is 66, 942, 940, 336

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 942 is 2 x 3 x 157

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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, 942) = 10362

GCD(66, 942) = ( 66 x 942 ) / 10362

GCD(66, 942) = 62172 / 10362

GCD(66, 942) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 940

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

LCM(6, 940) = 2820

GCD(6, 940) = ( 6 x 940 ) / 2820

GCD(6, 940) = 5640 / 2820

GCD(6, 940) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 336

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

LCM(2, 336) = 336

GCD(2, 336) = ( 2 x 336 ) / 336

GCD(2, 336) = 672 / 336

GCD(2, 336) = 2

GCD of 66, 942, 940, 336 is 2

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1. What is the GCD of 66, 942, 940, 336?

GCD of 66, 942, 940, 336 is 2

2. Where do I get the detailed procedure to find GCD of 66, 942, 940, 336?

You can find a detailed procedure to find GCD of 66, 942, 940, 336 on our page.

3. How to find GCD of 66, 942, 940, 336 on a calculator?

You can find the GCD of 66, 942, 940, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.