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 365, 398, 84, 877 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 398, 84, 877 is 1
GCD(365, 398, 84, 877) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 398, 84, 877 is 1
GCD(365, 398, 84, 877) = 1
Given Input numbers are 365, 398, 84, 877
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Greatest Common Divisior
We found the divisors of 365, 398, 84, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 398, 84, 877 is 1.
Therefore, GCD of numbers 365, 398, 84, 877 is 1
Given Input Data is 365, 398, 84, 877
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 398 is 2 x 199
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 877 is 877
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(365, 398) = 145270
GCD(365, 398) = ( 365 x 398 ) / 145270
GCD(365, 398) = 145270 / 145270
GCD(365, 398) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 877
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 877) = 877
GCD(1, 877) = ( 1 x 877 ) / 877
GCD(1, 877) = 877 / 877
GCD(1, 877) = 1
GCD of 365, 398, 84, 877 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 398, 84, 877?
GCD of 365, 398, 84, 877 is 1
2. Where do I get the detailed procedure to find GCD of 365, 398, 84, 877?
You can find a detailed procedure to find GCD of 365, 398, 84, 877 on our page.
3. How to find GCD of 365, 398, 84, 877 on a calculator?
You can find the GCD of 365, 398, 84, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.