Online GCD Calculator is useful to find the GCD of 738, 964, 339, 120 quickly. Get the easiest ways to solve the greatest common divisor of 738, 964, 339, 120 i.e 1 in different methods as follows.
Given Input numbers are 738, 964, 339, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (738, 964, 339, 120) = 1.
Given numbers are 738, 964, 339, 120
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 964 are 2 x 2 x 241
Prime factors of 339 are 3 x 113
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 738, 964, 339, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 964) = 355716
GCD(738, 964) = ( 738 x 964 ) / 355716
= 738 / 964
= 738
Step2:
LCM(2, 339) = 678
GCD(2, 339) = ( 2 x 339 ) / 678
= 2 / 339
= 2
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 738, 964, 339, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 964, 339, 120
The greatest common divisor of numbers 738, 964, 339, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 964, 339, 120 is 1.
1. What is the GCD of 738, 964, 339, 120?
GCD of given numbers 738, 964, 339, 120 is 1
2. How to calculate the greatest common divisor of 738, 964, 339, 120?
We can find the highest common divisor of 738, 964, 339, 120 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 738, 964, 339, 120 i.e 1.
3. How can I use the GCD of 738, 964, 339, 120Calculator?
Out the numbers 738, 964, 339, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.