GCD of 20, 138, 350, 698 Calculator

Given Input numbers are 20, 138, 350, 698

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 698

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

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 20, 138, 350, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 138, 350, 698 is 2.

Therefore, GCD of numbers 20, 138, 350, 698 is 2

Given Input Data is 20, 138, 350, 698

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 698 is 2 x 349

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(20, 138) = 1380

GCD(20, 138) = ( 20 x 138 ) / 1380

GCD(20, 138) = 2760 / 1380

GCD(20, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 350

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

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

GCD(2, 350) = 700 / 350

GCD(2, 350) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

GCD of 20, 138, 350, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 361, 610, 772
• GCD of 49, 312, 742, 816
• GCD of 12, 242, 993, 317
• GCD of 16, 437, 349, 843
• GCD of 39, 530, 676, 161

1. What is the GCD of 20, 138, 350, 698?

GCD of 20, 138, 350, 698 is 2

2. Where do I get the detailed procedure to find GCD of 20, 138, 350, 698?

You can find a detailed procedure to find GCD of 20, 138, 350, 698 on our page.

3. How to find GCD of 20, 138, 350, 698 on a calculator?

You can find the GCD of 20, 138, 350, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.