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 85, 175, 141, 623 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 175, 141, 623 is 1
GCD(85, 175, 141, 623) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 175, 141, 623 is 1
GCD(85, 175, 141, 623) = 1
Given Input numbers are 85, 175, 141, 623
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Greatest Common Divisior
We found the divisors of 85, 175, 141, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 175, 141, 623 is 1.
Therefore, GCD of numbers 85, 175, 141, 623 is 1
Given Input Data is 85, 175, 141, 623
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 141 is 3 x 47
Prime Factorization of 623 is 7 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(85, 175) = 2975
GCD(85, 175) = ( 85 x 175 ) / 2975
GCD(85, 175) = 14875 / 2975
GCD(85, 175) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 141) = 705
GCD(5, 141) = ( 5 x 141 ) / 705
GCD(5, 141) = 705 / 705
GCD(5, 141) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 623) = 623
GCD(1, 623) = ( 1 x 623 ) / 623
GCD(1, 623) = 623 / 623
GCD(1, 623) = 1
GCD of 85, 175, 141, 623 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 175, 141, 623?
GCD of 85, 175, 141, 623 is 1
2. Where do I get the detailed procedure to find GCD of 85, 175, 141, 623?
You can find a detailed procedure to find GCD of 85, 175, 141, 623 on our page.
3. How to find GCD of 85, 175, 141, 623 on a calculator?
You can find the GCD of 85, 175, 141, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.