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 718, 766, 64, 814 i.e. 2 largest integer that divides all the numbers equally.
GCD of 718, 766, 64, 814 is 2
GCD(718, 766, 64, 814) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 718, 766, 64, 814 is 2
GCD(718, 766, 64, 814) = 2
Given Input numbers are 718, 766, 64, 814
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Greatest Common Divisior
We found the divisors of 718, 766, 64, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 766, 64, 814 is 2.
Therefore, GCD of numbers 718, 766, 64, 814 is 2
Given Input Data is 718, 766, 64, 814
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 718 is 2 x 359
Prime Factorization of 766 is 2 x 383
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 814 is 2 x 11 x 37
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(718, 766) = 274994
GCD(718, 766) = ( 718 x 766 ) / 274994
GCD(718, 766) = 549988 / 274994
GCD(718, 766) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 64) = 64
GCD(2, 64) = ( 2 x 64 ) / 64
GCD(2, 64) = 128 / 64
GCD(2, 64) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 814
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 814) = 814
GCD(2, 814) = ( 2 x 814 ) / 814
GCD(2, 814) = 1628 / 814
GCD(2, 814) = 2
GCD of 718, 766, 64, 814 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 718, 766, 64, 814?
GCD of 718, 766, 64, 814 is 2
2. Where do I get the detailed procedure to find GCD of 718, 766, 64, 814?
You can find a detailed procedure to find GCD of 718, 766, 64, 814 on our page.
3. How to find GCD of 718, 766, 64, 814 on a calculator?
You can find the GCD of 718, 766, 64, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.