GCD of 414, 540, 74, 268 Calculator

Given Input numbers are 414, 540, 74, 268

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 268

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

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 414, 540, 74, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 540, 74, 268 is 2.

Therefore, GCD of numbers 414, 540, 74, 268 is 2

Given Input Data is 414, 540, 74, 268

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 74 is 2 x 37

Prime Factorization of 268 is 2 x 2 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(414, 540) = 12420

GCD(414, 540) = ( 414 x 540 ) / 12420

GCD(414, 540) = 223560 / 12420

GCD(414, 540) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 74

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

LCM(18, 74) = 666

GCD(18, 74) = ( 18 x 74 ) / 666

GCD(18, 74) = 1332 / 666

GCD(18, 74) = 2

Step3:

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

GCD of 414, 540, 74, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 879, 71, 176
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• GCD of 128, 786, 25, 745
• GCD of 225, 904, 31, 369
• GCD of 414, 169, 17, 525

1. What is the GCD of 414, 540, 74, 268?

GCD of 414, 540, 74, 268 is 2

2. Where do I get the detailed procedure to find GCD of 414, 540, 74, 268?

You can find a detailed procedure to find GCD of 414, 540, 74, 268 on our page.

3. How to find GCD of 414, 540, 74, 268 on a calculator?

You can find the GCD of 414, 540, 74, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.