Online GCD Calculator is useful to find the GCD of 242, 260, 184, 170 quickly. Get the easiest ways to solve the greatest common divisor of 242, 260, 184, 170 i.e 2 in different methods as follows.
Given Input numbers are 242, 260, 184, 170
In the factoring method, we have to find the divisors of all numbers
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
GCD of numbers is the greatest common divisor
So, the GCD (242, 260, 184, 170) = 2.
Given numbers are 242, 260, 184, 170
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 184 are 2 x 2 x 2 x 23
Prime factors of 170 are 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 242, 260, 184, 170 is 2.
Given numbers are 242, 260, 184, 170
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 260) = 31460
GCD(242, 260) = ( 242 x 260 ) / 31460
= 242 / 260
= 242
Step2:
LCM(2, 184) = 184
GCD(2, 184) = ( 2 x 184 ) / 184
= 2 / 184
= 2
Step3:
LCM(2, 170) = 170
GCD(2, 170) = ( 2 x 170 ) / 170
= 2 / 170
= 2
So, Greatest Common Divisor of 242, 260, 184, 170 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 260, 184, 170
The greatest common divisor of numbers 242, 260, 184, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 260, 184, 170 is 2.
1. What is the GCD of 242, 260, 184, 170?
GCD of given numbers 242, 260, 184, 170 is 2
2. How to calculate the greatest common divisor of 242, 260, 184, 170?
We can find the highest common divisor of 242, 260, 184, 170 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 242, 260, 184, 170 i.e 2.
3. How can I use the GCD of 242, 260, 184, 170Calculator?
Out the numbers 242, 260, 184, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.