GCD of 100, 164, 174 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 100, 164, 174 i.e. 2 largest integer that divides all the numbers equally.
GCD of 100, 164, 174 is 2
GCD(100, 164, 174) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 100, 164, 174 is 2
GCD(100, 164, 174) = 2
GCDof 100,164,174 is 2
Given Input numbers are 100, 164, 174
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Greatest Common Divisior
We found the divisors of 100, 164, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 164, 174 is 2.
Therefore, GCD of numbers 100, 164, 174 is 2
Given Input Data is 100, 164, 174
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 174 is 2 x 3 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 100, 164, 174 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(100, 164) = 4100
GCD(100, 164) = ( 100 x 164 ) / 4100
GCD(100, 164) = 16400 / 4100
GCD(100, 164) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 174
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 174) = 348
GCD(4, 174) = ( 4 x 174 ) / 348
GCD(4, 174) = 696 / 348
GCD(4, 174) = 2
GCD of 100, 164, 174 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 100, 164, 174
1. What is the GCD of 100, 164, 174?
GCD of 100, 164, 174 is 2
2. Where do I get the detailed procedure to find GCD of 100, 164, 174?
You can find a detailed procedure to find GCD of 100, 164, 174 on our page.
3. How to find GCD of 100, 164, 174 on a calculator?
You can find the GCD of 100, 164, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.