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 86, 182, 205, 748 i.e. 1 largest integer that divides all the numbers equally.
GCD of 86, 182, 205, 748 is 1
GCD(86, 182, 205, 748) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 86, 182, 205, 748 is 1
GCD(86, 182, 205, 748) = 1
Given Input numbers are 86, 182, 205, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 86, 182, 205, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 182, 205, 748 is 1.
Therefore, GCD of numbers 86, 182, 205, 748 is 1
Given Input Data is 86, 182, 205, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 86 is 2 x 43
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 205 is 5 x 41
Prime Factorization of 748 is 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
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(86, 182) = 7826
GCD(86, 182) = ( 86 x 182 ) / 7826
GCD(86, 182) = 15652 / 7826
GCD(86, 182) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 205) = 410
GCD(2, 205) = ( 2 x 205 ) / 410
GCD(2, 205) = 410 / 410
GCD(2, 205) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
GCD of 86, 182, 205, 748 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 86, 182, 205, 748?
GCD of 86, 182, 205, 748 is 1
2. Where do I get the detailed procedure to find GCD of 86, 182, 205, 748?
You can find a detailed procedure to find GCD of 86, 182, 205, 748 on our page.
3. How to find GCD of 86, 182, 205, 748 on a calculator?
You can find the GCD of 86, 182, 205, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.