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 428, 995, 316, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 995, 316, 121 is 1
GCD(428, 995, 316, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 995, 316, 121 is 1
GCD(428, 995, 316, 121) = 1
Given Input numbers are 428, 995, 316, 121
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Greatest Common Divisior
We found the divisors of 428, 995, 316, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 995, 316, 121 is 1.
Therefore, GCD of numbers 428, 995, 316, 121 is 1
Given Input Data is 428, 995, 316, 121
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 995 is 5 x 199
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 121 is 11 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(428, 995) = 425860
GCD(428, 995) = ( 428 x 995 ) / 425860
GCD(428, 995) = 425860 / 425860
GCD(428, 995) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 316) = 316
GCD(1, 316) = ( 1 x 316 ) / 316
GCD(1, 316) = 316 / 316
GCD(1, 316) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
GCD(1, 121) = 121 / 121
GCD(1, 121) = 1
GCD of 428, 995, 316, 121 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 995, 316, 121?
GCD of 428, 995, 316, 121 is 1
2. Where do I get the detailed procedure to find GCD of 428, 995, 316, 121?
You can find a detailed procedure to find GCD of 428, 995, 316, 121 on our page.
3. How to find GCD of 428, 995, 316, 121 on a calculator?
You can find the GCD of 428, 995, 316, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.