GCD of 31, 553, 448, 613 Calculator

Given Input numbers are 31, 553, 448, 613

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 31, 553, 448, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 553, 448, 613 is 1.

Therefore, GCD of numbers 31, 553, 448, 613 is 1

Given Input Data is 31, 553, 448, 613

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

Prime Factorization of 31 is 31

Prime Factorization of 553 is 7 x 79

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 613 is 613

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(31, 553) = 17143

GCD(31, 553) = ( 31 x 553 ) / 17143

GCD(31, 553) = 17143 / 17143

GCD(31, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 31, 553, 448, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 312, 640, 291
• GCD of 27, 930, 708, 124
• GCD of 21, 273, 794, 142
• GCD of 69, 205, 729, 431
• GCD of 23, 944, 559, 979

1. What is the GCD of 31, 553, 448, 613?

GCD of 31, 553, 448, 613 is 1

2. Where do I get the detailed procedure to find GCD of 31, 553, 448, 613?

You can find a detailed procedure to find GCD of 31, 553, 448, 613 on our page.

3. How to find GCD of 31, 553, 448, 613 on a calculator?

You can find the GCD of 31, 553, 448, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.