GCD of 164, 160, 890 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 164, 160, 890 i.e. 2 largest integer that divides all the numbers equally.
GCD of 164, 160, 890 is 2
GCD(164, 160, 890) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 160, 890 is 2
GCD(164, 160, 890) = 2
GCDof 164,160,890 is 2
Given Input numbers are 164, 160, 890
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Greatest Common Divisior
We found the divisors of 164, 160, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 160, 890 is 2.
Therefore, GCD of numbers 164, 160, 890 is 2
Given Input Data is 164, 160, 890
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 890 is 2 x 5 x 89
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 164, 160, 890 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(164, 160) = 6560
GCD(164, 160) = ( 164 x 160 ) / 6560
GCD(164, 160) = 26240 / 6560
GCD(164, 160) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 890) = 1780
GCD(4, 890) = ( 4 x 890 ) / 1780
GCD(4, 890) = 3560 / 1780
GCD(4, 890) = 2
GCD of 164, 160, 890 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 164, 160, 890
1. What is the GCD of 164, 160, 890?
GCD of 164, 160, 890 is 2
2. Where do I get the detailed procedure to find GCD of 164, 160, 890?
You can find a detailed procedure to find GCD of 164, 160, 890 on our page.
3. How to find GCD of 164, 160, 890 on a calculator?
You can find the GCD of 164, 160, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
