Online GCD Calculator is useful to find the GCD of 312, 603, 746, 675 quickly. Get the easiest ways to solve the greatest common divisor of 312, 603, 746, 675 i.e 1 in different methods as follows.
Given Input numbers are 312, 603, 746, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 603 :
The positive integer divisors of 603 that completely divides 603 are.
1, 3, 9, 67, 201, 603
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (312, 603, 746, 675) = 1.
Given numbers are 312, 603, 746, 675
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 603 are 3 x 3 x 67
Prime factors of 746 are 2 x 373
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 312, 603, 746, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 603) = 62712
GCD(312, 603) = ( 312 x 603 ) / 62712
= 312 / 603
= 312
Step2:
LCM(3, 746) = 2238
GCD(3, 746) = ( 3 x 746 ) / 2238
= 3 / 746
= 3
Step3:
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
= 1 / 675
= 1
So, Greatest Common Divisor of 312, 603, 746, 675 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 603, 746, 675
The greatest common divisor of numbers 312, 603, 746, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 603, 746, 675 is 1.
1. What is the GCD of 312, 603, 746, 675?
GCD of given numbers 312, 603, 746, 675 is 1
2. How to calculate the greatest common divisor of 312, 603, 746, 675?
We can find the highest common divisor of 312, 603, 746, 675 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 312, 603, 746, 675 i.e 1.
3. How can I use the GCD of 312, 603, 746, 675Calculator?
Out the numbers 312, 603, 746, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.