GCD of 20, 206, 137, 802 Calculator

Given Input numbers are 20, 206, 137, 802

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 20, 206, 137, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 206, 137, 802 is 1.

Therefore, GCD of numbers 20, 206, 137, 802 is 1

Given Input Data is 20, 206, 137, 802

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 206 is 2 x 103

Prime Factorization of 137 is 137

Prime Factorization of 802 is 2 x 401

The above numbers do not have any common prime factor. So GCD is 1

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, 206) = 2060

GCD(20, 206) = ( 20 x 206 ) / 2060

GCD(20, 206) = 4120 / 2060

GCD(20, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 137

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

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

GCD(2, 137) = 274 / 274

GCD(2, 137) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 20, 206, 137, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 834, 974, 844
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• GCD of 98, 528, 128, 848
• GCD of 15, 595, 473, 342
• GCD of 81, 837, 346, 914

1. What is the GCD of 20, 206, 137, 802?

GCD of 20, 206, 137, 802 is 1

2. Where do I get the detailed procedure to find GCD of 20, 206, 137, 802?

You can find a detailed procedure to find GCD of 20, 206, 137, 802 on our page.

3. How to find GCD of 20, 206, 137, 802 on a calculator?

You can find the GCD of 20, 206, 137, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.