GCD of 136, 792, 254, 408 Calculator

Given Input numbers are 136, 792, 254, 408

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 136, 792, 254, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 792, 254, 408 is 2.

Therefore, GCD of numbers 136, 792, 254, 408 is 2

Given Input Data is 136, 792, 254, 408

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 254 is 2 x 127

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(136, 792) = 13464

GCD(136, 792) = ( 136 x 792 ) / 13464

GCD(136, 792) = 107712 / 13464

GCD(136, 792) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 254

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

LCM(8, 254) = 1016

GCD(8, 254) = ( 8 x 254 ) / 1016

GCD(8, 254) = 2032 / 1016

GCD(8, 254) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

GCD of 136, 792, 254, 408 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 530, 989, 509
• GCD of 987, 256, 954, 590
• GCD of 946, 131, 854, 337
• GCD of 861, 291, 421, 242
• GCD of 717, 858, 310, 714

1. What is the GCD of 136, 792, 254, 408?

GCD of 136, 792, 254, 408 is 2

2. Where do I get the detailed procedure to find GCD of 136, 792, 254, 408?

You can find a detailed procedure to find GCD of 136, 792, 254, 408 on our page.

3. How to find GCD of 136, 792, 254, 408 on a calculator?

You can find the GCD of 136, 792, 254, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.