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 73, 246, 870, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 246, 870, 369 is 1
GCD(73, 246, 870, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 246, 870, 369 is 1
GCD(73, 246, 870, 369) = 1
Given Input numbers are 73, 246, 870, 369
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 73, 246, 870, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 246, 870, 369 is 1.
Therefore, GCD of numbers 73, 246, 870, 369 is 1
Given Input Data is 73, 246, 870, 369
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 369 is 3 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(73, 246) = 17958
GCD(73, 246) = ( 73 x 246 ) / 17958
GCD(73, 246) = 17958 / 17958
GCD(73, 246) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 870
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 870) = 870
GCD(1, 870) = ( 1 x 870 ) / 870
GCD(1, 870) = 870 / 870
GCD(1, 870) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
GCD of 73, 246, 870, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 246, 870, 369?
GCD of 73, 246, 870, 369 is 1
2. Where do I get the detailed procedure to find GCD of 73, 246, 870, 369?
You can find a detailed procedure to find GCD of 73, 246, 870, 369 on our page.
3. How to find GCD of 73, 246, 870, 369 on a calculator?
You can find the GCD of 73, 246, 870, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.