Online GCD Calculator is useful to find the GCD of 810, 340, 380 quickly. Get the easiest ways to solve the greatest common divisor of 810, 340, 380 i.e 10 in different methods as follows.
Given Input numbers are 810, 340, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (810, 340, 380) = 10.
Given numbers are 810, 340, 380
The list of prime factors of all numbers are
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 21 x 51
Therefore, GCD of 810, 340, 380 is 10.
Given numbers are 810, 340, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(810, 340) = 27540
GCD(810, 340) = ( 810 x 340 ) / 27540
= 810 / 340
= 810
Step2:
LCM(10, 380) = 380
GCD(10, 380) = ( 10 x 380 ) / 380
= 10 / 380
= 10
So, Greatest Common Divisor of 810, 340, 380 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 810, 340, 380
The greatest common divisor of numbers 810, 340, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 340, 380 is 10.
1. What is the GCD of 810, 340, 380?
GCD of given numbers 810, 340, 380 is 10
2. How to calculate the greatest common divisor of 810, 340, 380?
We can find the highest common divisor of 810, 340, 380 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 810, 340, 380 i.e 10.
3. How can I use the GCD of 810, 340, 380Calculator?
Out the numbers 810, 340, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.