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 414, 164, 670 i.e. 2 largest integer that divides all the numbers equally.
GCD of 414, 164, 670 is 2
GCD(414, 164, 670) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 414, 164, 670 is 2
GCD(414, 164, 670) = 2
Given Input numbers are 414, 164, 670
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Greatest Common Divisior
We found the divisors of 414, 164, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 164, 670 is 2.
Therefore, GCD of numbers 414, 164, 670 is 2
Given Input Data is 414, 164, 670
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 670 is 2 x 5 x 67
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(414, 164) = 33948
GCD(414, 164) = ( 414 x 164 ) / 33948
GCD(414, 164) = 67896 / 33948
GCD(414, 164) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 670) = 670
GCD(2, 670) = ( 2 x 670 ) / 670
GCD(2, 670) = 1340 / 670
GCD(2, 670) = 2
GCD of 414, 164, 670 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 414, 164, 670?
GCD of 414, 164, 670 is 2
2. Where do I get the detailed procedure to find GCD of 414, 164, 670?
You can find a detailed procedure to find GCD of 414, 164, 670 on our page.
3. How to find GCD of 414, 164, 670 on a calculator?
You can find the GCD of 414, 164, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.