Online GCD Calculator is useful to find the GCD of 705, 106, 560, 165 quickly. Get the easiest ways to solve the greatest common divisor of 705, 106, 560, 165 i.e 1 in different methods as follows.
Given Input numbers are 705, 106, 560, 165
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (705, 106, 560, 165) = 1.
Given numbers are 705, 106, 560, 165
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 106 are 2 x 53
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 165 are 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 705, 106, 560, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 106) = 74730
GCD(705, 106) = ( 705 x 106 ) / 74730
= 705 / 106
= 705
Step2:
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
= 1 / 560
= 1
Step3:
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
= 1 / 165
= 1
So, Greatest Common Divisor of 705, 106, 560, 165 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 106, 560, 165
The greatest common divisor of numbers 705, 106, 560, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 106, 560, 165 is 1.
1. What is the GCD of 705, 106, 560, 165?
GCD of given numbers 705, 106, 560, 165 is 1
2. How to calculate the greatest common divisor of 705, 106, 560, 165?
We can find the highest common divisor of 705, 106, 560, 165 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 705, 106, 560, 165 i.e 1.
3. How can I use the GCD of 705, 106, 560, 165Calculator?
Out the numbers 705, 106, 560, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.