Online GCD Calculator is useful to find the GCD of 242, 509, 357, 966 quickly. Get the easiest ways to solve the greatest common divisor of 242, 509, 357, 966 i.e 1 in different methods as follows.
Given Input numbers are 242, 509, 357, 966
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 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
GCD of numbers is the greatest common divisor
So, the GCD (242, 509, 357, 966) = 1.
Given numbers are 242, 509, 357, 966
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 509 are 509
Prime factors of 357 are 3 x 7 x 17
Prime factors of 966 are 2 x 3 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 242, 509, 357, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 509) = 123178
GCD(242, 509) = ( 242 x 509 ) / 123178
= 242 / 509
= 242
Step2:
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
= 1 / 357
= 1
Step3:
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
= 1 / 966
= 1
So, Greatest Common Divisor of 242, 509, 357, 966 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 509, 357, 966
The greatest common divisor of numbers 242, 509, 357, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 509, 357, 966 is 1.
1. What is the GCD of 242, 509, 357, 966?
GCD of given numbers 242, 509, 357, 966 is 1
2. How to calculate the greatest common divisor of 242, 509, 357, 966?
We can find the highest common divisor of 242, 509, 357, 966 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, 509, 357, 966 i.e 1.
3. How can I use the GCD of 242, 509, 357, 966Calculator?
Out the numbers 242, 509, 357, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.