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 350, 186, 83, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 186, 83, 178 is 1
GCD(350, 186, 83, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 186, 83, 178 is 1
GCD(350, 186, 83, 178) = 1
Given Input numbers are 350, 186, 83, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 350, 186, 83, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 186, 83, 178 is 1.
Therefore, GCD of numbers 350, 186, 83, 178 is 1
Given Input Data is 350, 186, 83, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 83 is 83
Prime Factorization of 178 is 2 x 89
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(350, 186) = 32550
GCD(350, 186) = ( 350 x 186 ) / 32550
GCD(350, 186) = 65100 / 32550
GCD(350, 186) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 83) = 166
GCD(2, 83) = ( 2 x 83 ) / 166
GCD(2, 83) = 166 / 166
GCD(2, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 350, 186, 83, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 186, 83, 178?
GCD of 350, 186, 83, 178 is 1
2. Where do I get the detailed procedure to find GCD of 350, 186, 83, 178?
You can find a detailed procedure to find GCD of 350, 186, 83, 178 on our page.
3. How to find GCD of 350, 186, 83, 178 on a calculator?
You can find the GCD of 350, 186, 83, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.