Online GCD Calculator is useful to find the GCD of 345, 834, 805, 270 quickly. Get the easiest ways to solve the greatest common divisor of 345, 834, 805, 270 i.e 1 in different methods as follows.
Given Input numbers are 345, 834, 805, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 805 :
The positive integer divisors of 805 that completely divides 805 are.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (345, 834, 805, 270) = 1.
Given numbers are 345, 834, 805, 270
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 834 are 2 x 3 x 139
Prime factors of 805 are 5 x 7 x 23
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 834, 805, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 834) = 95910
GCD(345, 834) = ( 345 x 834 ) / 95910
= 345 / 834
= 345
Step2:
LCM(3, 805) = 2415
GCD(3, 805) = ( 3 x 805 ) / 2415
= 3 / 805
= 3
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 345, 834, 805, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 834, 805, 270
The greatest common divisor of numbers 345, 834, 805, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 834, 805, 270 is 1.
1. What is the GCD of 345, 834, 805, 270?
GCD of given numbers 345, 834, 805, 270 is 1
2. How to calculate the greatest common divisor of 345, 834, 805, 270?
We can find the highest common divisor of 345, 834, 805, 270 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 345, 834, 805, 270 i.e 1.
3. How can I use the GCD of 345, 834, 805, 270Calculator?
Out the numbers 345, 834, 805, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.