GCD of 83, 274, 159, 278 Calculator

Given Input numbers are 83, 274, 159, 278

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

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 83, 274, 159, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 274, 159, 278 is 1.

Therefore, GCD of numbers 83, 274, 159, 278 is 1

Given Input Data is 83, 274, 159, 278

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

Prime Factorization of 83 is 83

Prime Factorization of 274 is 2 x 137

Prime Factorization of 159 is 3 x 53

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(83, 274) = 22742

GCD(83, 274) = ( 83 x 274 ) / 22742

GCD(83, 274) = 22742 / 22742

GCD(83, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 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 83, 274, 159, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 945, 437, 204
• GCD of 78, 550, 993, 725
• GCD of 28, 814, 882, 872
• GCD of 27, 474, 847, 722
• GCD of 52, 594, 870, 118

1. What is the GCD of 83, 274, 159, 278?

GCD of 83, 274, 159, 278 is 1

2. Where do I get the detailed procedure to find GCD of 83, 274, 159, 278?

You can find a detailed procedure to find GCD of 83, 274, 159, 278 on our page.

3. How to find GCD of 83, 274, 159, 278 on a calculator?

You can find the GCD of 83, 274, 159, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.