Online GCD Calculator is useful to find the GCD of 328, 752, 550, 734 quickly. Get the easiest ways to solve the greatest common divisor of 328, 752, 550, 734 i.e 2 in different methods as follows.
Given Input numbers are 328, 752, 550, 734
In the factoring method, we have to find the divisors of all numbers
Divisors of 328 :
The positive integer divisors of 328 that completely divides 328 are.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
GCD of numbers is the greatest common divisor
So, the GCD (328, 752, 550, 734) = 2.
Given numbers are 328, 752, 550, 734
The list of prime factors of all numbers are
Prime factors of 328 are 2 x 2 x 2 x 41
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 734 are 2 x 367
The highest common occurrence is 21
Therefore, GCD of 328, 752, 550, 734 is 2.
Given numbers are 328, 752, 550, 734
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(328, 752) = 30832
GCD(328, 752) = ( 328 x 752 ) / 30832
= 328 / 752
= 328
Step2:
LCM(8, 550) = 2200
GCD(8, 550) = ( 8 x 550 ) / 2200
= 8 / 550
= 8
Step3:
LCM(2, 734) = 734
GCD(2, 734) = ( 2 x 734 ) / 734
= 2 / 734
= 2
So, Greatest Common Divisor of 328, 752, 550, 734 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 328, 752, 550, 734
The greatest common divisor of numbers 328, 752, 550, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 752, 550, 734 is 2.
1. What is the GCD of 328, 752, 550, 734?
GCD of given numbers 328, 752, 550, 734 is 2
2. How to calculate the greatest common divisor of 328, 752, 550, 734?
We can find the highest common divisor of 328, 752, 550, 734 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 328, 752, 550, 734 i.e 2.
3. How can I use the GCD of 328, 752, 550, 734Calculator?
Out the numbers 328, 752, 550, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.