GCD of 750, 858, 165, 579 Calculator

Given Input numbers are 750, 858, 165, 579

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 750, 858, 165, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 858, 165, 579 is 3.

Therefore, GCD of numbers 750, 858, 165, 579 is 3

Given Input Data is 750, 858, 165, 579

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 579 is 3 x 193

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(750, 858) = 107250

GCD(750, 858) = ( 750 x 858 ) / 107250

GCD(750, 858) = 643500 / 107250

GCD(750, 858) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 165

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

LCM(6, 165) = 330

GCD(6, 165) = ( 6 x 165 ) / 330

GCD(6, 165) = 990 / 330

GCD(6, 165) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 579

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

LCM(3, 579) = 579

GCD(3, 579) = ( 3 x 579 ) / 579

GCD(3, 579) = 1737 / 579

GCD(3, 579) = 3

GCD of 750, 858, 165, 579 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 639, 799, 928
• GCD of 824, 442, 242, 891
• GCD of 681, 229, 598, 183
• GCD of 372, 638, 896, 881
• GCD of 591, 478, 871, 998

1. What is the GCD of 750, 858, 165, 579?

GCD of 750, 858, 165, 579 is 3

2. Where do I get the detailed procedure to find GCD of 750, 858, 165, 579?

You can find a detailed procedure to find GCD of 750, 858, 165, 579 on our page.

3. How to find GCD of 750, 858, 165, 579 on a calculator?

You can find the GCD of 750, 858, 165, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.