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 705, 136, 81, 213 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 136, 81, 213 is 1
GCD(705, 136, 81, 213) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 136, 81, 213 is 1
GCD(705, 136, 81, 213) = 1
Given Input numbers are 705, 136, 81, 213
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Greatest Common Divisior
We found the divisors of 705, 136, 81, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 136, 81, 213 is 1.
Therefore, GCD of numbers 705, 136, 81, 213 is 1
Given Input Data is 705, 136, 81, 213
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 213 is 3 x 71
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(705, 136) = 95880
GCD(705, 136) = ( 705 x 136 ) / 95880
GCD(705, 136) = 95880 / 95880
GCD(705, 136) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
GCD(1, 213) = 213 / 213
GCD(1, 213) = 1
GCD of 705, 136, 81, 213 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 136, 81, 213?
GCD of 705, 136, 81, 213 is 1
2. Where do I get the detailed procedure to find GCD of 705, 136, 81, 213?
You can find a detailed procedure to find GCD of 705, 136, 81, 213 on our page.
3. How to find GCD of 705, 136, 81, 213 on a calculator?
You can find the GCD of 705, 136, 81, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.