GCD of 348, 974, 591, 278 Calculator

Given Input numbers are 348, 974, 591, 278

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

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 974

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

1, 2, 487, 974

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 348, 974, 591, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 974, 591, 278 is 1.

Therefore, GCD of numbers 348, 974, 591, 278 is 1

Given Input Data is 348, 974, 591, 278

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 974 is 2 x 487

Prime Factorization of 591 is 3 x 197

Prime Factorization of 278 is 2 x 139

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(348, 974) = 169476

GCD(348, 974) = ( 348 x 974 ) / 169476

GCD(348, 974) = 338952 / 169476

GCD(348, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 591

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

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

GCD(2, 591) = 1182 / 1182

GCD(2, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 348, 974, 591, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 318, 808, 252
• GCD of 793, 244, 282, 135
• GCD of 732, 420, 583, 231
• GCD of 532, 814, 220, 404
• GCD of 726, 730, 507, 868

1. What is the GCD of 348, 974, 591, 278?

GCD of 348, 974, 591, 278 is 1

2. Where do I get the detailed procedure to find GCD of 348, 974, 591, 278?

You can find a detailed procedure to find GCD of 348, 974, 591, 278 on our page.

3. How to find GCD of 348, 974, 591, 278 on a calculator?

You can find the GCD of 348, 974, 591, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.