Online GCD Calculator is useful to find the GCD of 938, 109, 288 quickly. Get the easiest ways to solve the greatest common divisor of 938, 109, 288 i.e 1 in different methods as follows.
Given Input numbers are 938, 109, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
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
GCD of numbers is the greatest common divisor
So, the GCD (938, 109, 288) = 1.
Given numbers are 938, 109, 288
The list of prime factors of all numbers are
Prime factors of 938 are 2 x 7 x 67
Prime factors of 109 are 109
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 938, 109, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(938, 109) = 102242
GCD(938, 109) = ( 938 x 109 ) / 102242
= 938 / 109
= 938
Step2:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 938, 109, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 938, 109, 288
The greatest common divisor of numbers 938, 109, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 109, 288 is 1.
1. What is the GCD of 938, 109, 288?
GCD of given numbers 938, 109, 288 is 1
2. How to calculate the greatest common divisor of 938, 109, 288?
We can find the highest common divisor of 938, 109, 288 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 938, 109, 288 i.e 1.
3. How can I use the GCD of 938, 109, 288Calculator?
Out the numbers 938, 109, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.