Online GCD Calculator is useful to find the GCD of 756, 208, 330, 369 quickly. Get the easiest ways to solve the greatest common divisor of 756, 208, 330, 369 i.e 1 in different methods as follows.
Given Input numbers are 756, 208, 330, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (756, 208, 330, 369) = 1.
Given numbers are 756, 208, 330, 369
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 369 are 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 756, 208, 330, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 208) = 39312
GCD(756, 208) = ( 756 x 208 ) / 39312
= 756 / 208
= 756
Step2:
LCM(4, 330) = 660
GCD(4, 330) = ( 4 x 330 ) / 660
= 4 / 330
= 4
Step3:
LCM(2, 369) = 738
GCD(2, 369) = ( 2 x 369 ) / 738
= 2 / 369
= 2
So, Greatest Common Divisor of 756, 208, 330, 369 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 208, 330, 369
The greatest common divisor of numbers 756, 208, 330, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 208, 330, 369 is 1.
1. What is the GCD of 756, 208, 330, 369?
GCD of given numbers 756, 208, 330, 369 is 1
2. How to calculate the greatest common divisor of 756, 208, 330, 369?
We can find the highest common divisor of 756, 208, 330, 369 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 756, 208, 330, 369 i.e 1.
3. How can I use the GCD of 756, 208, 330, 369Calculator?
Out the numbers 756, 208, 330, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.