GCD of 40, 650, 202, 206 Calculator

Given Input numbers are 40, 650, 202, 206

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 206

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

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 40, 650, 202, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 650, 202, 206 is 2.

Therefore, GCD of numbers 40, 650, 202, 206 is 2

Given Input Data is 40, 650, 202, 206

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 202 is 2 x 101

Prime Factorization of 206 is 2 x 103

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(40, 650) = 2600

GCD(40, 650) = ( 40 x 650 ) / 2600

GCD(40, 650) = 26000 / 2600

GCD(40, 650) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 202

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

LCM(10, 202) = 1010

GCD(10, 202) = ( 10 x 202 ) / 1010

GCD(10, 202) = 2020 / 1010

GCD(10, 202) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 206

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

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

GCD(2, 206) = 412 / 206

GCD(2, 206) = 2

GCD of 40, 650, 202, 206 is 2

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1. What is the GCD of 40, 650, 202, 206?

GCD of 40, 650, 202, 206 is 2

2. Where do I get the detailed procedure to find GCD of 40, 650, 202, 206?

You can find a detailed procedure to find GCD of 40, 650, 202, 206 on our page.

3. How to find GCD of 40, 650, 202, 206 on a calculator?

You can find the GCD of 40, 650, 202, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.