Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 750, 858, 688, 864 i.e. 2 largest integer that divides all the numbers equally.
GCD of 750, 858, 688, 864 is 2
GCD(750, 858, 688, 864) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 858, 688, 864 is 2
GCD(750, 858, 688, 864) = 2
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
Here are some samples of GCD of Numbers calculations.
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.