GCD of 136, 698, 484, 290 Calculator

Given Input numbers are 136, 698, 484, 290

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 698

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

1, 2, 349, 698

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 136, 698, 484, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 698, 484, 290 is 2.

Therefore, GCD of numbers 136, 698, 484, 290 is 2

Given Input Data is 136, 698, 484, 290

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 698 is 2 x 349

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 290 is 2 x 5 x 29

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, 698) = 47464

GCD(136, 698) = ( 136 x 698 ) / 47464

GCD(136, 698) = 94928 / 47464

GCD(136, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 484

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

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

GCD(2, 484) = 968 / 484

GCD(2, 484) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

GCD of 136, 698, 484, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 124, 365, 142
• GCD of 953, 281, 258, 785
• GCD of 621, 696, 450, 430
• GCD of 689, 621, 779, 495
• GCD of 915, 422, 255, 202

1. What is the GCD of 136, 698, 484, 290?

GCD of 136, 698, 484, 290 is 2

2. Where do I get the detailed procedure to find GCD of 136, 698, 484, 290?

You can find a detailed procedure to find GCD of 136, 698, 484, 290 on our page.

3. How to find GCD of 136, 698, 484, 290 on a calculator?

You can find the GCD of 136, 698, 484, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.