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 175, 416, 11, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 416, 11, 155 is 1
GCD(175, 416, 11, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 416, 11, 155 is 1
GCD(175, 416, 11, 155) = 1
Given Input numbers are 175, 416, 11, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 175, 416, 11, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 416, 11, 155 is 1.
Therefore, GCD of numbers 175, 416, 11, 155 is 1
Given Input Data is 175, 416, 11, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 11 is 11
Prime Factorization of 155 is 5 x 31
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(175, 416) = 72800
GCD(175, 416) = ( 175 x 416 ) / 72800
GCD(175, 416) = 72800 / 72800
GCD(175, 416) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 175, 416, 11, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 416, 11, 155?
GCD of 175, 416, 11, 155 is 1
2. Where do I get the detailed procedure to find GCD of 175, 416, 11, 155?
You can find a detailed procedure to find GCD of 175, 416, 11, 155 on our page.
3. How to find GCD of 175, 416, 11, 155 on a calculator?
You can find the GCD of 175, 416, 11, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.