Online GCD Calculator is useful to find the GCD of 303, 153, 744, 675 quickly. Get the easiest ways to solve the greatest common divisor of 303, 153, 744, 675 i.e 3 in different methods as follows.
Given Input numbers are 303, 153, 744, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 (303, 153, 744, 675) = 3.
Given numbers are 303, 153, 744, 675
The list of prime factors of all numbers are
Prime factors of 303 are 3 x 101
Prime factors of 153 are 3 x 3 x 17
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 303, 153, 744, 675 is 3.
Given numbers are 303, 153, 744, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(303, 153) = 15453
GCD(303, 153) = ( 303 x 153 ) / 15453
= 303 / 153
= 303
Step2:
LCM(3, 744) = 744
GCD(3, 744) = ( 3 x 744 ) / 744
= 3 / 744
= 3
Step3:
LCM(3, 675) = 675
GCD(3, 675) = ( 3 x 675 ) / 675
= 3 / 675
= 3
So, Greatest Common Divisor of 303, 153, 744, 675 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 303, 153, 744, 675
The greatest common divisor of numbers 303, 153, 744, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 303, 153, 744, 675 is 3.
1. What is the GCD of 303, 153, 744, 675?
GCD of given numbers 303, 153, 744, 675 is 3
2. How to calculate the greatest common divisor of 303, 153, 744, 675?
We can find the highest common divisor of 303, 153, 744, 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 303, 153, 744, 675 i.e 3.
3. How can I use the GCD of 303, 153, 744, 675Calculator?
Out the numbers 303, 153, 744, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.