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 374, 177, 75, 169 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 177, 75, 169 is 1
GCD(374, 177, 75, 169) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 177, 75, 169 is 1
GCD(374, 177, 75, 169) = 1
Given Input numbers are 374, 177, 75, 169
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Greatest Common Divisior
We found the divisors of 374, 177, 75, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 177, 75, 169 is 1.
Therefore, GCD of numbers 374, 177, 75, 169 is 1
Given Input Data is 374, 177, 75, 169
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 177 is 3 x 59
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 169 is 13 x 13
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(374, 177) = 66198
GCD(374, 177) = ( 374 x 177 ) / 66198
GCD(374, 177) = 66198 / 66198
GCD(374, 177) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
GCD of 374, 177, 75, 169 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 177, 75, 169?
GCD of 374, 177, 75, 169 is 1
2. Where do I get the detailed procedure to find GCD of 374, 177, 75, 169?
You can find a detailed procedure to find GCD of 374, 177, 75, 169 on our page.
3. How to find GCD of 374, 177, 75, 169 on a calculator?
You can find the GCD of 374, 177, 75, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.