GCD of 83, 169, 900, 656 Calculator

Given Input numbers are 83, 169, 900, 656

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 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 83, 169, 900, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 169, 900, 656 is 1.

Therefore, GCD of numbers 83, 169, 900, 656 is 1

Given Input Data is 83, 169, 900, 656

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

Prime Factorization of 83 is 83

Prime Factorization of 169 is 13 x 13

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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, 169) = 14027

GCD(83, 169) = ( 83 x 169 ) / 14027

GCD(83, 169) = 14027 / 14027

GCD(83, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 83, 169, 900, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 184, 686, 841
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• GCD of 47, 423, 909, 776
• GCD of 20, 469, 479, 243

1. What is the GCD of 83, 169, 900, 656?

GCD of 83, 169, 900, 656 is 1

2. Where do I get the detailed procedure to find GCD of 83, 169, 900, 656?

You can find a detailed procedure to find GCD of 83, 169, 900, 656 on our page.

3. How to find GCD of 83, 169, 900, 656 on a calculator?

You can find the GCD of 83, 169, 900, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.