GCD of 526, 736, 162 Calculator

Given Input numbers are 526, 736, 162

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

Divisors of 526

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

1, 2, 263, 526

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 526, 736, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 736, 162 is 2.

Therefore, GCD of numbers 526, 736, 162 is 2

Given Input Data is 526, 736, 162

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(526, 736) = 193568

GCD(526, 736) = ( 526 x 736 ) / 193568

GCD(526, 736) = 387136 / 193568

GCD(526, 736) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 162

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

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

GCD(2, 162) = 324 / 162

GCD(2, 162) = 2

GCD of 526, 736, 162 is 2

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1. What is the GCD of 526, 736, 162?

GCD of 526, 736, 162 is 2

2. Where do I get the detailed procedure to find GCD of 526, 736, 162?

You can find a detailed procedure to find GCD of 526, 736, 162 on our page.

3. How to find GCD of 526, 736, 162 on a calculator?

You can find the GCD of 526, 736, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.