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 845, 420, 95, 954 i.e. 1 largest integer that divides all the numbers equally.
GCD of 845, 420, 95, 954 is 1
GCD(845, 420, 95, 954) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 845, 420, 95, 954 is 1
GCD(845, 420, 95, 954) = 1
Given Input numbers are 845, 420, 95, 954
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Greatest Common Divisior
We found the divisors of 845, 420, 95, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 420, 95, 954 is 1.
Therefore, GCD of numbers 845, 420, 95, 954 is 1
Given Input Data is 845, 420, 95, 954
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 95 is 5 x 19
Prime Factorization of 954 is 2 x 3 x 3 x 53
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(845, 420) = 70980
GCD(845, 420) = ( 845 x 420 ) / 70980
GCD(845, 420) = 354900 / 70980
GCD(845, 420) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 95) = 95
GCD(5, 95) = ( 5 x 95 ) / 95
GCD(5, 95) = 475 / 95
GCD(5, 95) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 954
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 954) = 4770
GCD(5, 954) = ( 5 x 954 ) / 4770
GCD(5, 954) = 4770 / 4770
GCD(5, 954) = 1
GCD of 845, 420, 95, 954 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 845, 420, 95, 954?
GCD of 845, 420, 95, 954 is 1
2. Where do I get the detailed procedure to find GCD of 845, 420, 95, 954?
You can find a detailed procedure to find GCD of 845, 420, 95, 954 on our page.
3. How to find GCD of 845, 420, 95, 954 on a calculator?
You can find the GCD of 845, 420, 95, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.