GCD of 370, 616, 944, 597 Calculator

Given Input numbers are 370, 616, 944, 597

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 370, 616, 944, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 616, 944, 597 is 1.

Therefore, GCD of numbers 370, 616, 944, 597 is 1

Given Input Data is 370, 616, 944, 597

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 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 597 is 3 x 199

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, 616) = 113960

GCD(370, 616) = ( 370 x 616 ) / 113960

GCD(370, 616) = 227920 / 113960

GCD(370, 616) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 944

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

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

GCD(2, 944) = 1888 / 944

GCD(2, 944) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 597

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

LCM(2, 597) = 1194

GCD(2, 597) = ( 2 x 597 ) / 1194

GCD(2, 597) = 1194 / 1194

GCD(2, 597) = 1

GCD of 370, 616, 944, 597 is 1

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1. What is the GCD of 370, 616, 944, 597?

GCD of 370, 616, 944, 597 is 1

2. Where do I get the detailed procedure to find GCD of 370, 616, 944, 597?

You can find a detailed procedure to find GCD of 370, 616, 944, 597 on our page.

3. How to find GCD of 370, 616, 944, 597 on a calculator?

You can find the GCD of 370, 616, 944, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.