GCD of 65, 850, 715, 221 Calculator

Given Input numbers are 65, 850, 715, 221

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 65, 850, 715, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 850, 715, 221 is 1.

Therefore, GCD of numbers 65, 850, 715, 221 is 1

Given Input Data is 65, 850, 715, 221

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 221 is 13 x 17

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(65, 850) = 11050

GCD(65, 850) = ( 65 x 850 ) / 11050

GCD(65, 850) = 55250 / 11050

GCD(65, 850) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 715

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

LCM(5, 715) = 715

GCD(5, 715) = ( 5 x 715 ) / 715

GCD(5, 715) = 3575 / 715

GCD(5, 715) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 221

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

LCM(5, 221) = 1105

GCD(5, 221) = ( 5 x 221 ) / 1105

GCD(5, 221) = 1105 / 1105

GCD(5, 221) = 1

GCD of 65, 850, 715, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 978, 941, 772
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• GCD of 40, 601, 389, 425

1. What is the GCD of 65, 850, 715, 221?

GCD of 65, 850, 715, 221 is 1

2. Where do I get the detailed procedure to find GCD of 65, 850, 715, 221?

You can find a detailed procedure to find GCD of 65, 850, 715, 221 on our page.

3. How to find GCD of 65, 850, 715, 221 on a calculator?

You can find the GCD of 65, 850, 715, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.