GCD of 858, 300, 169, 505 Calculator

Given Input numbers are 858, 300, 169, 505

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

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 169

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

1, 13, 169

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 858, 300, 169, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 300, 169, 505 is 1.

Therefore, GCD of numbers 858, 300, 169, 505 is 1

Given Input Data is 858, 300, 169, 505

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

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 169 is 13 x 13

Prime Factorization of 505 is 5 x 101

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(858, 300) = 42900

GCD(858, 300) = ( 858 x 300 ) / 42900

GCD(858, 300) = 257400 / 42900

GCD(858, 300) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 169

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

LCM(6, 169) = 1014

GCD(6, 169) = ( 6 x 169 ) / 1014

GCD(6, 169) = 1014 / 1014

GCD(6, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 858, 300, 169, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 493, 873, 303
• GCD of 138, 101, 227, 295
• GCD of 695, 815, 915, 998
• GCD of 674, 257, 270, 749
• GCD of 302, 963, 641, 213

1. What is the GCD of 858, 300, 169, 505?

GCD of 858, 300, 169, 505 is 1

2. Where do I get the detailed procedure to find GCD of 858, 300, 169, 505?

You can find a detailed procedure to find GCD of 858, 300, 169, 505 on our page.

3. How to find GCD of 858, 300, 169, 505 on a calculator?

You can find the GCD of 858, 300, 169, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.