Online GCD Calculator is useful to find the GCD of 516, 165, 357, 242 quickly. Get the easiest ways to solve the greatest common divisor of 516, 165, 357, 242 i.e 1 in different methods as follows.
Given Input numbers are 516, 165, 357, 242
In the factoring method, we have to find the divisors of all numbers
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
GCD of numbers is the greatest common divisor
So, the GCD (516, 165, 357, 242) = 1.
Given numbers are 516, 165, 357, 242
The list of prime factors of all numbers are
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 165 are 3 x 5 x 11
Prime factors of 357 are 3 x 7 x 17
Prime factors of 242 are 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 516, 165, 357, 242
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(516, 165) = 28380
GCD(516, 165) = ( 516 x 165 ) / 28380
= 516 / 165
= 516
Step2:
LCM(3, 357) = 357
GCD(3, 357) = ( 3 x 357 ) / 357
= 3 / 357
= 3
Step3:
LCM(3, 242) = 726
GCD(3, 242) = ( 3 x 242 ) / 726
= 3 / 242
= 3
So, Greatest Common Divisor of 516, 165, 357, 242 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 516, 165, 357, 242
The greatest common divisor of numbers 516, 165, 357, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 165, 357, 242 is 1.
1. What is the GCD of 516, 165, 357, 242?
GCD of given numbers 516, 165, 357, 242 is 1
2. How to calculate the greatest common divisor of 516, 165, 357, 242?
We can find the highest common divisor of 516, 165, 357, 242 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 516, 165, 357, 242 i.e 1.
3. How can I use the GCD of 516, 165, 357, 242Calculator?
Out the numbers 516, 165, 357, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.