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 704, 512, 86, 106 i.e. 2 largest integer that divides all the numbers equally.
GCD of 704, 512, 86, 106 is 2
GCD(704, 512, 86, 106) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 704, 512, 86, 106 is 2
GCD(704, 512, 86, 106) = 2
Given Input numbers are 704, 512, 86, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 704, 512, 86, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 512, 86, 106 is 2.
Therefore, GCD of numbers 704, 512, 86, 106 is 2
Given Input Data is 704, 512, 86, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 86 is 2 x 43
Prime Factorization of 106 is 2 x 53
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(704, 512) = 5632
GCD(704, 512) = ( 704 x 512 ) / 5632
GCD(704, 512) = 360448 / 5632
GCD(704, 512) = 64
Step2:
Here we consider the GCD from the above i.e. 64 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(64, 86) = 2752
GCD(64, 86) = ( 64 x 86 ) / 2752
GCD(64, 86) = 5504 / 2752
GCD(64, 86) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 106) = 106
GCD(2, 106) = ( 2 x 106 ) / 106
GCD(2, 106) = 212 / 106
GCD(2, 106) = 2
GCD of 704, 512, 86, 106 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 704, 512, 86, 106?
GCD of 704, 512, 86, 106 is 2
2. Where do I get the detailed procedure to find GCD of 704, 512, 86, 106?
You can find a detailed procedure to find GCD of 704, 512, 86, 106 on our page.
3. How to find GCD of 704, 512, 86, 106 on a calculator?
You can find the GCD of 704, 512, 86, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.