GCD of 405, 207, 70 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 405, 207, 70 i.e. 1 largest integer that divides all the numbers equally.
GCD of 405, 207, 70 is 1
GCD(405, 207, 70) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 405, 207, 70 is 1
GCD(405, 207, 70) = 1
GCDof 405,207,70 is 1
Given Input numbers are 405, 207, 70
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Greatest Common Divisior
We found the divisors of 405, 207, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 207, 70 is 1.
Therefore, GCD of numbers 405, 207, 70 is 1
Given Input Data is 405, 207, 70
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 70 is 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 405, 207, 70 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(405, 207) = 9315
GCD(405, 207) = ( 405 x 207 ) / 9315
GCD(405, 207) = 83835 / 9315
GCD(405, 207) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 70) = 630
GCD(9, 70) = ( 9 x 70 ) / 630
GCD(9, 70) = 630 / 630
GCD(9, 70) = 1
GCD of 405, 207, 70 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 405, 207, 70
1. What is the GCD of 405, 207, 70?
GCD of 405, 207, 70 is 1
2. Where do I get the detailed procedure to find GCD of 405, 207, 70?
You can find a detailed procedure to find GCD of 405, 207, 70 on our page.
3. How to find GCD of 405, 207, 70 on a calculator?
You can find the GCD of 405, 207, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
