Online GCD Calculator is useful to find the GCD of 338, 888, 970, 109 quickly. Get the easiest ways to solve the greatest common divisor of 338, 888, 970, 109 i.e 1 in different methods as follows.
Given Input numbers are 338, 888, 970, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
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 (338, 888, 970, 109) = 1.
Given numbers are 338, 888, 970, 109
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 970 are 2 x 5 x 97
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 338, 888, 970, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 888) = 150072
GCD(338, 888) = ( 338 x 888 ) / 150072
= 338 / 888
= 338
Step2:
LCM(2, 970) = 970
GCD(2, 970) = ( 2 x 970 ) / 970
= 2 / 970
= 2
Step3:
LCM(2, 109) = 218
GCD(2, 109) = ( 2 x 109 ) / 218
= 2 / 109
= 2
So, Greatest Common Divisor of 338, 888, 970, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 888, 970, 109
The greatest common divisor of numbers 338, 888, 970, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 888, 970, 109 is 1.
1. What is the GCD of 338, 888, 970, 109?
GCD of given numbers 338, 888, 970, 109 is 1
2. How to calculate the greatest common divisor of 338, 888, 970, 109?
We can find the highest common divisor of 338, 888, 970, 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 338, 888, 970, 109 i.e 1.
3. How can I use the GCD of 338, 888, 970, 109Calculator?
Out the numbers 338, 888, 970, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.