GCD of 750, 858, 688, 864 Calculator

Given Input numbers are 750, 858, 688, 864

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 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 750, 858, 688, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 858, 688, 864 is 2.

Therefore, GCD of numbers 750, 858, 688, 864 is 2

Given Input Data is 750, 858, 688, 864

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 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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 688

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

LCM(6, 688) = 2064

GCD(6, 688) = ( 6 x 688 ) / 2064

GCD(6, 688) = 4128 / 2064

GCD(6, 688) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 750, 858, 688, 864 is 2

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1. What is the GCD of 750, 858, 688, 864?

GCD of 750, 858, 688, 864 is 2

2. Where do I get the detailed procedure to find GCD of 750, 858, 688, 864?

You can find a detailed procedure to find GCD of 750, 858, 688, 864 on our page.

3. How to find GCD of 750, 858, 688, 864 on a calculator?

You can find the GCD of 750, 858, 688, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.