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, 278, 838, 534 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 278, 838, 534 is 1
GCD(365, 278, 838, 534) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 278, 838, 534 is 1
GCD(365, 278, 838, 534) = 1
Given Input numbers are 365, 278, 838, 534
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 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Greatest Common Divisior
We found the divisors of 365, 278, 838, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 278, 838, 534 is 1.
Therefore, GCD of numbers 365, 278, 838, 534 is 1
Given Input Data is 365, 278, 838, 534
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 278 is 2 x 139
Prime Factorization of 838 is 2 x 419
Prime Factorization of 534 is 2 x 3 x 89
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, 278) = 101470
GCD(365, 278) = ( 365 x 278 ) / 101470
GCD(365, 278) = 101470 / 101470
GCD(365, 278) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 838
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 838) = 838
GCD(1, 838) = ( 1 x 838 ) / 838
GCD(1, 838) = 838 / 838
GCD(1, 838) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 534) = 534
GCD(1, 534) = ( 1 x 534 ) / 534
GCD(1, 534) = 534 / 534
GCD(1, 534) = 1
GCD of 365, 278, 838, 534 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 278, 838, 534?
GCD of 365, 278, 838, 534 is 1
2. Where do I get the detailed procedure to find GCD of 365, 278, 838, 534?
You can find a detailed procedure to find GCD of 365, 278, 838, 534 on our page.
3. How to find GCD of 365, 278, 838, 534 on a calculator?
You can find the GCD of 365, 278, 838, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.