Online GCD Calculator is useful to find the GCD of 165, 320, 814, 840 quickly. Get the easiest ways to solve the greatest common divisor of 165, 320, 814, 840 i.e 1 in different methods as follows.
Given Input numbers are 165, 320, 814, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (165, 320, 814, 840) = 1.
Given numbers are 165, 320, 814, 840
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 814 are 2 x 11 x 37
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 165, 320, 814, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 320) = 10560
GCD(165, 320) = ( 165 x 320 ) / 10560
= 165 / 320
= 165
Step2:
LCM(5, 814) = 4070
GCD(5, 814) = ( 5 x 814 ) / 4070
= 5 / 814
= 5
Step3:
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
= 1 / 840
= 1
So, Greatest Common Divisor of 165, 320, 814, 840 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 320, 814, 840
The greatest common divisor of numbers 165, 320, 814, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 320, 814, 840 is 1.
1. What is the GCD of 165, 320, 814, 840?
GCD of given numbers 165, 320, 814, 840 is 1
2. How to calculate the greatest common divisor of 165, 320, 814, 840?
We can find the highest common divisor of 165, 320, 814, 840 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 165, 320, 814, 840 i.e 1.
3. How can I use the GCD of 165, 320, 814, 840Calculator?
Out the numbers 165, 320, 814, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.