GCD of 370, 309, 917, 722 Calculator

Given Input numbers are 370, 309, 917, 722

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

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 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 370, 309, 917, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 309, 917, 722 is 1.

Therefore, GCD of numbers 370, 309, 917, 722 is 1

Given Input Data is 370, 309, 917, 722

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 309 is 3 x 103

Prime Factorization of 917 is 7 x 131

Prime Factorization of 722 is 2 x 19 x 19

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(370, 309) = 114330

GCD(370, 309) = ( 370 x 309 ) / 114330

GCD(370, 309) = 114330 / 114330

GCD(370, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 370, 309, 917, 722 is 1

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1. What is the GCD of 370, 309, 917, 722?

GCD of 370, 309, 917, 722 is 1

2. Where do I get the detailed procedure to find GCD of 370, 309, 917, 722?

You can find a detailed procedure to find GCD of 370, 309, 917, 722 on our page.

3. How to find GCD of 370, 309, 917, 722 on a calculator?

You can find the GCD of 370, 309, 917, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.