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, 120, 863, 983 i.e. 1 largest integer that divides all the numbers equally.
GCD of 95, 120, 863, 983 is 1
GCD(95, 120, 863, 983) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 95, 120, 863, 983 is 1
GCD(95, 120, 863, 983) = 1
Given Input numbers are 95, 120, 863, 983
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 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Greatest Common Divisior
We found the divisors of 95, 120, 863, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 95, 120, 863, 983 is 1.
Therefore, GCD of numbers 95, 120, 863, 983 is 1
Given Input Data is 95, 120, 863, 983
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 95 is 5 x 19
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 863 is 863
Prime Factorization of 983 is 983
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, 120) = 2280
GCD(95, 120) = ( 95 x 120 ) / 2280
GCD(95, 120) = 11400 / 2280
GCD(95, 120) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 863
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 863) = 4315
GCD(5, 863) = ( 5 x 863 ) / 4315
GCD(5, 863) = 4315 / 4315
GCD(5, 863) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
GCD(1, 983) = 983 / 983
GCD(1, 983) = 1
GCD of 95, 120, 863, 983 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 95, 120, 863, 983?
GCD of 95, 120, 863, 983 is 1
2. Where do I get the detailed procedure to find GCD of 95, 120, 863, 983?
You can find a detailed procedure to find GCD of 95, 120, 863, 983 on our page.
3. How to find GCD of 95, 120, 863, 983 on a calculator?
You can find the GCD of 95, 120, 863, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.