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 995, 235, 142, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 995, 235, 142, 675 is 1
GCD(995, 235, 142, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 995, 235, 142, 675 is 1
GCD(995, 235, 142, 675) = 1
Given Input numbers are 995, 235, 142, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 995, 235, 142, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 235, 142, 675 is 1.
Therefore, GCD of numbers 995, 235, 142, 675 is 1
Given Input Data is 995, 235, 142, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 995 is 5 x 199
Prime Factorization of 235 is 5 x 47
Prime Factorization of 142 is 2 x 71
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
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(995, 235) = 46765
GCD(995, 235) = ( 995 x 235 ) / 46765
GCD(995, 235) = 233825 / 46765
GCD(995, 235) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 142) = 710
GCD(5, 142) = ( 5 x 142 ) / 710
GCD(5, 142) = 710 / 710
GCD(5, 142) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 995, 235, 142, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 995, 235, 142, 675?
GCD of 995, 235, 142, 675 is 1
2. Where do I get the detailed procedure to find GCD of 995, 235, 142, 675?
You can find a detailed procedure to find GCD of 995, 235, 142, 675 on our page.
3. How to find GCD of 995, 235, 142, 675 on a calculator?
You can find the GCD of 995, 235, 142, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.