Online GCD Calculator is useful to find the GCD of 752, 584, 348, 204 quickly. Get the easiest ways to solve the greatest common divisor of 752, 584, 348, 204 i.e 4 in different methods as follows.
Given Input numbers are 752, 584, 348, 204
In the factoring method, we have to find the divisors of all numbers
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 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD of numbers is the greatest common divisor
So, the GCD (752, 584, 348, 204) = 4.
Given numbers are 752, 584, 348, 204
The list of prime factors of all numbers are
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 22
Therefore, GCD of 752, 584, 348, 204 is 4.
Given numbers are 752, 584, 348, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 584) = 54896
GCD(752, 584) = ( 752 x 584 ) / 54896
= 752 / 584
= 752
Step2:
LCM(8, 348) = 696
GCD(8, 348) = ( 8 x 348 ) / 696
= 8 / 348
= 8
Step3:
LCM(4, 204) = 204
GCD(4, 204) = ( 4 x 204 ) / 204
= 4 / 204
= 4
So, Greatest Common Divisor of 752, 584, 348, 204 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 752, 584, 348, 204
The greatest common divisor of numbers 752, 584, 348, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 584, 348, 204 is 4.
1. What is the GCD of 752, 584, 348, 204?
GCD of given numbers 752, 584, 348, 204 is 4
2. How to calculate the greatest common divisor of 752, 584, 348, 204?
We can find the highest common divisor of 752, 584, 348, 204 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 752, 584, 348, 204 i.e 4.
3. How can I use the GCD of 752, 584, 348, 204Calculator?
Out the numbers 752, 584, 348, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.