GCD of 370, 348, 856, 579 Calculator

Given Input numbers are 370, 348, 856, 579

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 370, 348, 856, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 348, 856, 579 is 1.

Therefore, GCD of numbers 370, 348, 856, 579 is 1

Given Input Data is 370, 348, 856, 579

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 348 is 2 x 2 x 3 x 29

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 579 is 3 x 193

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, 348) = 64380

GCD(370, 348) = ( 370 x 348 ) / 64380

GCD(370, 348) = 128760 / 64380

GCD(370, 348) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 579

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

LCM(2, 579) = 1158

GCD(2, 579) = ( 2 x 579 ) / 1158

GCD(2, 579) = 1158 / 1158

GCD(2, 579) = 1

GCD of 370, 348, 856, 579 is 1

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1. What is the GCD of 370, 348, 856, 579?

GCD of 370, 348, 856, 579 is 1

2. Where do I get the detailed procedure to find GCD of 370, 348, 856, 579?

You can find a detailed procedure to find GCD of 370, 348, 856, 579 on our page.

3. How to find GCD of 370, 348, 856, 579 on a calculator?

You can find the GCD of 370, 348, 856, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.