GCD of 455, 350, 83, 561 Calculator

Given Input numbers are 455, 350, 83, 561

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

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 83

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

1, 83

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 455, 350, 83, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 350, 83, 561 is 1.

Therefore, GCD of numbers 455, 350, 83, 561 is 1

Given Input Data is 455, 350, 83, 561

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 83 is 83

Prime Factorization of 561 is 3 x 11 x 17

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(455, 350) = 4550

GCD(455, 350) = ( 455 x 350 ) / 4550

GCD(455, 350) = 159250 / 4550

GCD(455, 350) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 83

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

LCM(35, 83) = 2905

GCD(35, 83) = ( 35 x 83 ) / 2905

GCD(35, 83) = 2905 / 2905

GCD(35, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 455, 350, 83, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 316, 46, 526
• GCD of 120, 633, 95, 347
• GCD of 268, 291, 48, 403
• GCD of 488, 789, 76, 880
• GCD of 655, 458, 43, 628

1. What is the GCD of 455, 350, 83, 561?

GCD of 455, 350, 83, 561 is 1

2. Where do I get the detailed procedure to find GCD of 455, 350, 83, 561?

You can find a detailed procedure to find GCD of 455, 350, 83, 561 on our page.

3. How to find GCD of 455, 350, 83, 561 on a calculator?

You can find the GCD of 455, 350, 83, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.