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, 319, 698, 151 i.e. 1 largest integer that divides all the numbers equally.
GCD of 174, 319, 698, 151 is 1
GCD(174, 319, 698, 151) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 174, 319, 698, 151 is 1
GCD(174, 319, 698, 151) = 1
Given Input numbers are 174, 319, 698, 151
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 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Greatest Common Divisior
We found the divisors of 174, 319, 698, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 319, 698, 151 is 1.
Therefore, GCD of numbers 174, 319, 698, 151 is 1
Given Input Data is 174, 319, 698, 151
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 319 is 11 x 29
Prime Factorization of 698 is 2 x 349
Prime Factorization of 151 is 151
The above numbers do not have any common prime factor. So GCD is 1
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, 319) = 1914
GCD(174, 319) = ( 174 x 319 ) / 1914
GCD(174, 319) = 55506 / 1914
GCD(174, 319) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 698) = 20242
GCD(29, 698) = ( 29 x 698 ) / 20242
GCD(29, 698) = 20242 / 20242
GCD(29, 698) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 151) = 151
GCD(1, 151) = ( 1 x 151 ) / 151
GCD(1, 151) = 151 / 151
GCD(1, 151) = 1
GCD of 174, 319, 698, 151 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 174, 319, 698, 151?
GCD of 174, 319, 698, 151 is 1
2. Where do I get the detailed procedure to find GCD of 174, 319, 698, 151?
You can find a detailed procedure to find GCD of 174, 319, 698, 151 on our page.
3. How to find GCD of 174, 319, 698, 151 on a calculator?
You can find the GCD of 174, 319, 698, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.