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 475, 278, 85, 189 i.e. 1 largest integer that divides all the numbers equally.
GCD of 475, 278, 85, 189 is 1
GCD(475, 278, 85, 189) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 475, 278, 85, 189 is 1
GCD(475, 278, 85, 189) = 1
Given Input numbers are 475, 278, 85, 189
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Greatest Common Divisior
We found the divisors of 475, 278, 85, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 278, 85, 189 is 1.
Therefore, GCD of numbers 475, 278, 85, 189 is 1
Given Input Data is 475, 278, 85, 189
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 278 is 2 x 139
Prime Factorization of 85 is 5 x 17
Prime Factorization of 189 is 3 x 3 x 3 x 7
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(475, 278) = 132050
GCD(475, 278) = ( 475 x 278 ) / 132050
GCD(475, 278) = 132050 / 132050
GCD(475, 278) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
GCD of 475, 278, 85, 189 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 475, 278, 85, 189?
GCD of 475, 278, 85, 189 is 1
2. Where do I get the detailed procedure to find GCD of 475, 278, 85, 189?
You can find a detailed procedure to find GCD of 475, 278, 85, 189 on our page.
3. How to find GCD of 475, 278, 85, 189 on a calculator?
You can find the GCD of 475, 278, 85, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.