GCD of 217, 350, 370, 774 Calculator

Given Input numbers are 217, 350, 370, 774

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 217, 350, 370, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 350, 370, 774 is 1.

Therefore, GCD of numbers 217, 350, 370, 774 is 1

Given Input Data is 217, 350, 370, 774

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 774 is 2 x 3 x 3 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(217, 350) = 10850

GCD(217, 350) = ( 217 x 350 ) / 10850

GCD(217, 350) = 75950 / 10850

GCD(217, 350) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 370

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

LCM(7, 370) = 2590

GCD(7, 370) = ( 7 x 370 ) / 2590

GCD(7, 370) = 2590 / 2590

GCD(7, 370) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 217, 350, 370, 774 is 1

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1. What is the GCD of 217, 350, 370, 774?

GCD of 217, 350, 370, 774 is 1

2. Where do I get the detailed procedure to find GCD of 217, 350, 370, 774?

You can find a detailed procedure to find GCD of 217, 350, 370, 774 on our page.

3. How to find GCD of 217, 350, 370, 774 on a calculator?

You can find the GCD of 217, 350, 370, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.