GCD of 136, 318, 74, 526 Calculator

Given Input numbers are 136, 318, 74, 526

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 74

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

1, 2, 37, 74

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Greatest Common Divisior

We found the divisors of 136, 318, 74, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 318, 74, 526 is 2.

Therefore, GCD of numbers 136, 318, 74, 526 is 2

Given Input Data is 136, 318, 74, 526

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 318 is 2 x 3 x 53

Prime Factorization of 74 is 2 x 37

Prime Factorization of 526 is 2 x 263

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, 318) = 21624

GCD(136, 318) = ( 136 x 318 ) / 21624

GCD(136, 318) = 43248 / 21624

GCD(136, 318) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 526

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

LCM(2, 526) = 526

GCD(2, 526) = ( 2 x 526 ) / 526

GCD(2, 526) = 1052 / 526

GCD(2, 526) = 2

GCD of 136, 318, 74, 526 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 404, 79, 975
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• GCD of 676, 465, 62, 429
• GCD of 795, 281, 39, 238

1. What is the GCD of 136, 318, 74, 526?

GCD of 136, 318, 74, 526 is 2

2. Where do I get the detailed procedure to find GCD of 136, 318, 74, 526?

You can find a detailed procedure to find GCD of 136, 318, 74, 526 on our page.

3. How to find GCD of 136, 318, 74, 526 on a calculator?

You can find the GCD of 136, 318, 74, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.