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 95, 995, 176, 550 i.e. 1 largest integer that divides all the numbers equally.
GCD of 95, 995, 176, 550 is 1
GCD(95, 995, 176, 550) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 95, 995, 176, 550 is 1
GCD(95, 995, 176, 550) = 1
Given Input numbers are 95, 995, 176, 550
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Greatest Common Divisior
We found the divisors of 95, 995, 176, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 995, 176, 550 is 1.
Therefore, GCD of numbers 95, 995, 176, 550 is 1
Given Input Data is 95, 995, 176, 550
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 95 is 5 x 19
Prime Factorization of 995 is 5 x 199
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 550 is 2 x 5 x 5 x 11
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(95, 995) = 18905
GCD(95, 995) = ( 95 x 995 ) / 18905
GCD(95, 995) = 94525 / 18905
GCD(95, 995) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 176) = 880
GCD(5, 176) = ( 5 x 176 ) / 880
GCD(5, 176) = 880 / 880
GCD(5, 176) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
GCD of 95, 995, 176, 550 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 95, 995, 176, 550?
GCD of 95, 995, 176, 550 is 1
2. Where do I get the detailed procedure to find GCD of 95, 995, 176, 550?
You can find a detailed procedure to find GCD of 95, 995, 176, 550 on our page.
3. How to find GCD of 95, 995, 176, 550 on a calculator?
You can find the GCD of 95, 995, 176, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.