GCD of 368, 698, 536 Calculator

Given Input numbers are 368, 698, 536

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 368, 698, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 698, 536 is 2.

Therefore, GCD of numbers 368, 698, 536 is 2

Given Input Data is 368, 698, 536

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 698 is 2 x 349

Prime Factorization of 536 is 2 x 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(368, 698) = 128432

GCD(368, 698) = ( 368 x 698 ) / 128432

GCD(368, 698) = 256864 / 128432

GCD(368, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 536

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

LCM(2, 536) = 536

GCD(2, 536) = ( 2 x 536 ) / 536

GCD(2, 536) = 1072 / 536

GCD(2, 536) = 2

GCD of 368, 698, 536 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 220, 881
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1. What is the GCD of 368, 698, 536?

GCD of 368, 698, 536 is 2

2. Where do I get the detailed procedure to find GCD of 368, 698, 536?

You can find a detailed procedure to find GCD of 368, 698, 536 on our page.

3. How to find GCD of 368, 698, 536 on a calculator?

You can find the GCD of 368, 698, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.