GCD of 650, 380, 226, 297 Calculator

Given Input numbers are 650, 380, 226, 297

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 650, 380, 226, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 380, 226, 297 is 1.

Therefore, GCD of numbers 650, 380, 226, 297 is 1

Given Input Data is 650, 380, 226, 297

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 380 is 2 x 2 x 5 x 19

Prime Factorization of 226 is 2 x 113

Prime Factorization of 297 is 3 x 3 x 3 x 11

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, 380) = 24700

GCD(650, 380) = ( 650 x 380 ) / 24700

GCD(650, 380) = 247000 / 24700

GCD(650, 380) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 226

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

LCM(10, 226) = 1130

GCD(10, 226) = ( 10 x 226 ) / 1130

GCD(10, 226) = 2260 / 1130

GCD(10, 226) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

GCD of 650, 380, 226, 297 is 1

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1. What is the GCD of 650, 380, 226, 297?

GCD of 650, 380, 226, 297 is 1

2. Where do I get the detailed procedure to find GCD of 650, 380, 226, 297?

You can find a detailed procedure to find GCD of 650, 380, 226, 297 on our page.

3. How to find GCD of 650, 380, 226, 297 on a calculator?

You can find the GCD of 650, 380, 226, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.