Online GCD Calculator is useful to find the GCD of 804, 744, 825, 732 quickly. Get the easiest ways to solve the greatest common divisor of 804, 744, 825, 732 i.e 3 in different methods as follows.
Given Input numbers are 804, 744, 825, 732
In the factoring method, we have to find the divisors of all numbers
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
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 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
GCD of numbers is the greatest common divisor
So, the GCD (804, 744, 825, 732) = 3.
Given numbers are 804, 744, 825, 732
The list of prime factors of all numbers are
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 732 are 2 x 2 x 3 x 61
The highest common occurrence is 31
Therefore, GCD of 804, 744, 825, 732 is 3.
Given numbers are 804, 744, 825, 732
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(804, 744) = 49848
GCD(804, 744) = ( 804 x 744 ) / 49848
= 804 / 744
= 804
Step2:
LCM(12, 825) = 3300
GCD(12, 825) = ( 12 x 825 ) / 3300
= 12 / 825
= 12
Step3:
LCM(3, 732) = 732
GCD(3, 732) = ( 3 x 732 ) / 732
= 3 / 732
= 3
So, Greatest Common Divisor of 804, 744, 825, 732 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 804, 744, 825, 732
The greatest common divisor of numbers 804, 744, 825, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 744, 825, 732 is 3.
1. What is the GCD of 804, 744, 825, 732?
GCD of given numbers 804, 744, 825, 732 is 3
2. How to calculate the greatest common divisor of 804, 744, 825, 732?
We can find the highest common divisor of 804, 744, 825, 732 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 804, 744, 825, 732 i.e 3.
3. How can I use the GCD of 804, 744, 825, 732Calculator?
Out the numbers 804, 744, 825, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.