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 174, 170, 428, 364 i.e. 2 largest integer that divides all the numbers equally.
GCD of 174, 170, 428, 364 is 2
GCD(174, 170, 428, 364) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 174, 170, 428, 364 is 2
GCD(174, 170, 428, 364) = 2
Given Input numbers are 174, 170, 428, 364
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Greatest Common Divisior
We found the divisors of 174, 170, 428, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 170, 428, 364 is 2.
Therefore, GCD of numbers 174, 170, 428, 364 is 2
Given Input Data is 174, 170, 428, 364
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 364 is 2 x 2 x 7 x 13
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(174, 170) = 14790
GCD(174, 170) = ( 174 x 170 ) / 14790
GCD(174, 170) = 29580 / 14790
GCD(174, 170) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
GCD(2, 428) = 856 / 428
GCD(2, 428) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
GCD(2, 364) = 728 / 364
GCD(2, 364) = 2
GCD of 174, 170, 428, 364 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 174, 170, 428, 364?
GCD of 174, 170, 428, 364 is 2
2. Where do I get the detailed procedure to find GCD of 174, 170, 428, 364?
You can find a detailed procedure to find GCD of 174, 170, 428, 364 on our page.
3. How to find GCD of 174, 170, 428, 364 on a calculator?
You can find the GCD of 174, 170, 428, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.