GCD of 650, 200, 841, 301 Calculator

Given Input numbers are 650, 200, 841, 301

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

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 650, 200, 841, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 200, 841, 301 is 1.

Therefore, GCD of numbers 650, 200, 841, 301 is 1

Given Input Data is 650, 200, 841, 301

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

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 841 is 29 x 29

Prime Factorization of 301 is 7 x 43

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(650, 200) = 2600

GCD(650, 200) = ( 650 x 200 ) / 2600

GCD(650, 200) = 130000 / 2600

GCD(650, 200) = 50

Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 841

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

LCM(50, 841) = 42050

GCD(50, 841) = ( 50 x 841 ) / 42050

GCD(50, 841) = 42050 / 42050

GCD(50, 841) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 650, 200, 841, 301 is 1

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1. What is the GCD of 650, 200, 841, 301?

GCD of 650, 200, 841, 301 is 1

2. Where do I get the detailed procedure to find GCD of 650, 200, 841, 301?

You can find a detailed procedure to find GCD of 650, 200, 841, 301 on our page.

3. How to find GCD of 650, 200, 841, 301 on a calculator?

You can find the GCD of 650, 200, 841, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.