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 88, 464, 696, 866 i.e. 2 largest integer that divides all the numbers equally.
GCD of 88, 464, 696, 866 is 2
GCD(88, 464, 696, 866) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 464, 696, 866 is 2
GCD(88, 464, 696, 866) = 2
Given Input numbers are 88, 464, 696, 866
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Greatest Common Divisior
We found the divisors of 88, 464, 696, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 464, 696, 866 is 2.
Therefore, GCD of numbers 88, 464, 696, 866 is 2
Given Input Data is 88, 464, 696, 866
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 866 is 2 x 433
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(88, 464) = 5104
GCD(88, 464) = ( 88 x 464 ) / 5104
GCD(88, 464) = 40832 / 5104
GCD(88, 464) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 696) = 696
GCD(8, 696) = ( 8 x 696 ) / 696
GCD(8, 696) = 5568 / 696
GCD(8, 696) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 866
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 866) = 3464
GCD(8, 866) = ( 8 x 866 ) / 3464
GCD(8, 866) = 6928 / 3464
GCD(8, 866) = 2
GCD of 88, 464, 696, 866 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 464, 696, 866?
GCD of 88, 464, 696, 866 is 2
2. Where do I get the detailed procedure to find GCD of 88, 464, 696, 866?
You can find a detailed procedure to find GCD of 88, 464, 696, 866 on our page.
3. How to find GCD of 88, 464, 696, 866 on a calculator?
You can find the GCD of 88, 464, 696, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.