GCD of 83, 545, 320, 529 Calculator

Given Input numbers are 83, 545, 320, 529

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 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 83, 545, 320, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 545, 320, 529 is 1.

Therefore, GCD of numbers 83, 545, 320, 529 is 1

Given Input Data is 83, 545, 320, 529

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

Prime Factorization of 83 is 83

Prime Factorization of 545 is 5 x 109

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 529 is 23 x 23

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, 545) = 45235

GCD(83, 545) = ( 83 x 545 ) / 45235

GCD(83, 545) = 45235 / 45235

GCD(83, 545) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 83, 545, 320, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 280, 280, 424
• GCD of 22, 151, 107, 676
• GCD of 64, 883, 486, 252
• GCD of 46, 768, 660, 936
• GCD of 77, 880, 889, 887

1. What is the GCD of 83, 545, 320, 529?

GCD of 83, 545, 320, 529 is 1

2. Where do I get the detailed procedure to find GCD of 83, 545, 320, 529?

You can find a detailed procedure to find GCD of 83, 545, 320, 529 on our page.

3. How to find GCD of 83, 545, 320, 529 on a calculator?

You can find the GCD of 83, 545, 320, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.