GCD of 574, 970, 382, 346 Calculator

Given Input numbers are 574, 970, 382, 346

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 574, 970, 382, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 970, 382, 346 is 2.

Therefore, GCD of numbers 574, 970, 382, 346 is 2

Given Input Data is 574, 970, 382, 346

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 382 is 2 x 191

Prime Factorization of 346 is 2 x 173

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(574, 970) = 278390

GCD(574, 970) = ( 574 x 970 ) / 278390

GCD(574, 970) = 556780 / 278390

GCD(574, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 346

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

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

GCD(2, 346) = 692 / 346

GCD(2, 346) = 2

GCD of 574, 970, 382, 346 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 144, 277, 395
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• GCD of 705, 394, 803, 135
• GCD of 242, 913, 400, 641

1. What is the GCD of 574, 970, 382, 346?

GCD of 574, 970, 382, 346 is 2

2. Where do I get the detailed procedure to find GCD of 574, 970, 382, 346?

You can find a detailed procedure to find GCD of 574, 970, 382, 346 on our page.

3. How to find GCD of 574, 970, 382, 346 on a calculator?

You can find the GCD of 574, 970, 382, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.