Online GCD Calculator is useful to find the GCD of 165, 948, 610, 270 quickly. Get the easiest ways to solve the greatest common divisor of 165, 948, 610, 270 i.e 1 in different methods as follows.
Given Input numbers are 165, 948, 610, 270
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 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 610 :
The positive integer divisors of 610 that completely divides 610 are.
1, 2, 5, 10, 61, 122, 305, 610
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 (165, 948, 610, 270) = 1.
Given numbers are 165, 948, 610, 270
The list of prime factors of all numbers are
Prime factors of 165 are 3 x 5 x 11
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 610 are 2 x 5 x 61
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 165, 948, 610, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(165, 948) = 52140
GCD(165, 948) = ( 165 x 948 ) / 52140
= 165 / 948
= 165
Step2:
LCM(3, 610) = 1830
GCD(3, 610) = ( 3 x 610 ) / 1830
= 3 / 610
= 3
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 165, 948, 610, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 165, 948, 610, 270
The greatest common divisor of numbers 165, 948, 610, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 948, 610, 270 is 1.
1. What is the GCD of 165, 948, 610, 270?
GCD of given numbers 165, 948, 610, 270 is 1
2. How to calculate the greatest common divisor of 165, 948, 610, 270?
We can find the highest common divisor of 165, 948, 610, 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 165, 948, 610, 270 i.e 1.
3. How can I use the GCD of 165, 948, 610, 270Calculator?
Out the numbers 165, 948, 610, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.