Online GCD Calculator is useful to find the GCD of 738, 462, 675, 765 quickly. Get the easiest ways to solve the greatest common divisor of 738, 462, 675, 765 i.e 3 in different methods as follows.
Given Input numbers are 738, 462, 675, 765
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 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
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
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (738, 462, 675, 765) = 3.
Given numbers are 738, 462, 675, 765
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 765 are 3 x 3 x 5 x 17
The highest common occurrence is 31
Therefore, GCD of 738, 462, 675, 765 is 3.
Given numbers are 738, 462, 675, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 462) = 56826
GCD(738, 462) = ( 738 x 462 ) / 56826
= 738 / 462
= 738
Step2:
LCM(6, 675) = 1350
GCD(6, 675) = ( 6 x 675 ) / 1350
= 6 / 675
= 6
Step3:
LCM(3, 765) = 765
GCD(3, 765) = ( 3 x 765 ) / 765
= 3 / 765
= 3
So, Greatest Common Divisor of 738, 462, 675, 765 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 462, 675, 765
The greatest common divisor of numbers 738, 462, 675, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 462, 675, 765 is 3.
1. What is the GCD of 738, 462, 675, 765?
GCD of given numbers 738, 462, 675, 765 is 3
2. How to calculate the greatest common divisor of 738, 462, 675, 765?
We can find the highest common divisor of 738, 462, 675, 765 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, 462, 675, 765 i.e 3.
3. How can I use the GCD of 738, 462, 675, 765Calculator?
Out the numbers 738, 462, 675, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.