GCD of 66, 394, 268, 674 Calculator

Given Input numbers are 66, 394, 268, 674

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 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 66, 394, 268, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 394, 268, 674 is 2.

Therefore, GCD of numbers 66, 394, 268, 674 is 2

Given Input Data is 66, 394, 268, 674

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 394 is 2 x 197

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 674 is 2 x 337

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, 394) = 13002

GCD(66, 394) = ( 66 x 394 ) / 13002

GCD(66, 394) = 26004 / 13002

GCD(66, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 268

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

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

GCD(2, 268) = 536 / 268

GCD(2, 268) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

GCD of 66, 394, 268, 674 is 2

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1. What is the GCD of 66, 394, 268, 674?

GCD of 66, 394, 268, 674 is 2

2. Where do I get the detailed procedure to find GCD of 66, 394, 268, 674?

You can find a detailed procedure to find GCD of 66, 394, 268, 674 on our page.

3. How to find GCD of 66, 394, 268, 674 on a calculator?

You can find the GCD of 66, 394, 268, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.