Online GCD Calculator is useful to find the GCD of 105, 288, 154, 109 quickly. Get the easiest ways to solve the greatest common divisor of 105, 288, 154, 109 i.e 1 in different methods as follows.
Given Input numbers are 105, 288, 154, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (105, 288, 154, 109) = 1.
Given numbers are 105, 288, 154, 109
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 154 are 2 x 7 x 11
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 288, 154, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 288) = 10080
GCD(105, 288) = ( 105 x 288 ) / 10080
= 105 / 288
= 105
Step2:
LCM(3, 154) = 462
GCD(3, 154) = ( 3 x 154 ) / 462
= 3 / 154
= 3
Step3:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
So, Greatest Common Divisor of 105, 288, 154, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 288, 154, 109
The greatest common divisor of numbers 105, 288, 154, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 288, 154, 109 is 1.
1. What is the GCD of 105, 288, 154, 109?
GCD of given numbers 105, 288, 154, 109 is 1
2. How to calculate the greatest common divisor of 105, 288, 154, 109?
We can find the highest common divisor of 105, 288, 154, 109 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 105, 288, 154, 109 i.e 1.
3. How can I use the GCD of 105, 288, 154, 109Calculator?
Out the numbers 105, 288, 154, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.