Online GCD Calculator is useful to find the GCD of 242, 164, 969, 307 quickly. Get the easiest ways to solve the greatest common divisor of 242, 164, 969, 307 i.e 1 in different methods as follows.
Given Input numbers are 242, 164, 969, 307
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 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
GCD of numbers is the greatest common divisor
So, the GCD (242, 164, 969, 307) = 1.
Given numbers are 242, 164, 969, 307
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 164 are 2 x 2 x 41
Prime factors of 969 are 3 x 17 x 19
Prime factors of 307 are 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 242, 164, 969, 307
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 164) = 19844
GCD(242, 164) = ( 242 x 164 ) / 19844
= 242 / 164
= 242
Step2:
LCM(2, 969) = 1938
GCD(2, 969) = ( 2 x 969 ) / 1938
= 2 / 969
= 2
Step3:
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
= 1 / 307
= 1
So, Greatest Common Divisor of 242, 164, 969, 307 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 164, 969, 307
The greatest common divisor of numbers 242, 164, 969, 307 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 164, 969, 307 is 1.
1. What is the GCD of 242, 164, 969, 307?
GCD of given numbers 242, 164, 969, 307 is 1
2. How to calculate the greatest common divisor of 242, 164, 969, 307?
We can find the highest common divisor of 242, 164, 969, 307 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, 164, 969, 307 i.e 1.
3. How can I use the GCD of 242, 164, 969, 307Calculator?
Out the numbers 242, 164, 969, 307 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.