GCD of 974, 346, 208, 395 Calculator

Given Input numbers are 974, 346, 208, 395

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 346

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

1, 2, 173, 346

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 974, 346, 208, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 346, 208, 395 is 1.

Therefore, GCD of numbers 974, 346, 208, 395 is 1

Given Input Data is 974, 346, 208, 395

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 346 is 2 x 173

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 395 is 5 x 79

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(974, 346) = 168502

GCD(974, 346) = ( 974 x 346 ) / 168502

GCD(974, 346) = 337004 / 168502

GCD(974, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 395

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

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

GCD(2, 395) = 790 / 790

GCD(2, 395) = 1

GCD of 974, 346, 208, 395 is 1

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1. What is the GCD of 974, 346, 208, 395?

GCD of 974, 346, 208, 395 is 1

2. Where do I get the detailed procedure to find GCD of 974, 346, 208, 395?

You can find a detailed procedure to find GCD of 974, 346, 208, 395 on our page.

3. How to find GCD of 974, 346, 208, 395 on a calculator?

You can find the GCD of 974, 346, 208, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.