Online GCD Calculator is useful to find the GCD of 428, 330, 107, 975 quickly. Get the easiest ways to solve the greatest common divisor of 428, 330, 107, 975 i.e 1 in different methods as follows.
Given Input numbers are 428, 330, 107, 975
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
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 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
GCD of numbers is the greatest common divisor
So, the GCD (428, 330, 107, 975) = 1.
Given numbers are 428, 330, 107, 975
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 107 are 107
Prime factors of 975 are 3 x 5 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 428, 330, 107, 975
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 330) = 70620
GCD(428, 330) = ( 428 x 330 ) / 70620
= 428 / 330
= 428
Step2:
LCM(2, 107) = 214
GCD(2, 107) = ( 2 x 107 ) / 214
= 2 / 107
= 2
Step3:
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
= 1 / 975
= 1
So, Greatest Common Divisor of 428, 330, 107, 975 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 330, 107, 975
The greatest common divisor of numbers 428, 330, 107, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 330, 107, 975 is 1.
1. What is the GCD of 428, 330, 107, 975?
GCD of given numbers 428, 330, 107, 975 is 1
2. How to calculate the greatest common divisor of 428, 330, 107, 975?
We can find the highest common divisor of 428, 330, 107, 975 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 428, 330, 107, 975 i.e 1.
3. How can I use the GCD of 428, 330, 107, 975Calculator?
Out the numbers 428, 330, 107, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.