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, 775, 78, 122 i.e. 1 largest integer that divides all the numbers equally.
GCD of 995, 775, 78, 122 is 1
GCD(995, 775, 78, 122) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 995, 775, 78, 122 is 1
GCD(995, 775, 78, 122) = 1
Given Input numbers are 995, 775, 78, 122
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 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Greatest Common Divisior
We found the divisors of 995, 775, 78, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 775, 78, 122 is 1.
Therefore, GCD of numbers 995, 775, 78, 122 is 1
Given Input Data is 995, 775, 78, 122
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 995 is 5 x 199
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 122 is 2 x 61
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, 775) = 154225
GCD(995, 775) = ( 995 x 775 ) / 154225
GCD(995, 775) = 771125 / 154225
GCD(995, 775) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 78) = 390
GCD(5, 78) = ( 5 x 78 ) / 390
GCD(5, 78) = 390 / 390
GCD(5, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
GCD(1, 122) = 122 / 122
GCD(1, 122) = 1
GCD of 995, 775, 78, 122 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 995, 775, 78, 122?
GCD of 995, 775, 78, 122 is 1
2. Where do I get the detailed procedure to find GCD of 995, 775, 78, 122?
You can find a detailed procedure to find GCD of 995, 775, 78, 122 on our page.
3. How to find GCD of 995, 775, 78, 122 on a calculator?
You can find the GCD of 995, 775, 78, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.