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 445, 959, 898, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 445, 959, 898, 984 is 1
GCD(445, 959, 898, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 445, 959, 898, 984 is 1
GCD(445, 959, 898, 984) = 1
Given Input numbers are 445, 959, 898, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 445, 959, 898, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 959, 898, 984 is 1.
Therefore, GCD of numbers 445, 959, 898, 984 is 1
Given Input Data is 445, 959, 898, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 445 is 5 x 89
Prime Factorization of 959 is 7 x 137
Prime Factorization of 898 is 2 x 449
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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(445, 959) = 426755
GCD(445, 959) = ( 445 x 959 ) / 426755
GCD(445, 959) = 426755 / 426755
GCD(445, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 898
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
GCD(1, 898) = 898 / 898
GCD(1, 898) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 445, 959, 898, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 445, 959, 898, 984?
GCD of 445, 959, 898, 984 is 1
2. Where do I get the detailed procedure to find GCD of 445, 959, 898, 984?
You can find a detailed procedure to find GCD of 445, 959, 898, 984 on our page.
3. How to find GCD of 445, 959, 898, 984 on a calculator?
You can find the GCD of 445, 959, 898, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.