GCD of 820, 912, 705 Calculator
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 820, 912, 705 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 912, 705 is 1
GCD(820, 912, 705) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 912, 705 is 1
GCD(820, 912, 705) = 1
GCDof 820,912,705 is 1
Given Input numbers are 820, 912, 705
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Greatest Common Divisior
We found the divisors of 820, 912, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 912, 705 is 1.
Therefore, GCD of numbers 820, 912, 705 is 1
Given Input Data is 820, 912, 705
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 705 is 3 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 820, 912, 705 using LCM Formula
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(820, 912) = 186960
GCD(820, 912) = ( 820 x 912 ) / 186960
GCD(820, 912) = 747840 / 186960
GCD(820, 912) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 705) = 2820
GCD(4, 705) = ( 4 x 705 ) / 2820
GCD(4, 705) = 2820 / 2820
GCD(4, 705) = 1
GCD of 820, 912, 705 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 820, 912, 705
1. What is the GCD of 820, 912, 705?
GCD of 820, 912, 705 is 1
2. Where do I get the detailed procedure to find GCD of 820, 912, 705?
You can find a detailed procedure to find GCD of 820, 912, 705 on our page.
3. How to find GCD of 820, 912, 705 on a calculator?
You can find the GCD of 820, 912, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
