Online GCD Calculator is useful to find the GCD of 752, 342, 858, 384 quickly. Get the easiest ways to solve the greatest common divisor of 752, 342, 858, 384 i.e 2 in different methods as follows.
Given Input numbers are 752, 342, 858, 384
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 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (752, 342, 858, 384) = 2.
Given numbers are 752, 342, 858, 384
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 342 are 2 x 3 x 3 x 19
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 21
Therefore, GCD of 752, 342, 858, 384 is 2.
Given numbers are 752, 342, 858, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 342) = 128592
GCD(752, 342) = ( 752 x 342 ) / 128592
= 752 / 342
= 752
Step2:
LCM(2, 858) = 858
GCD(2, 858) = ( 2 x 858 ) / 858
= 2 / 858
= 2
Step3:
LCM(2, 384) = 384
GCD(2, 384) = ( 2 x 384 ) / 384
= 2 / 384
= 2
So, Greatest Common Divisor of 752, 342, 858, 384 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 752, 342, 858, 384
The greatest common divisor of numbers 752, 342, 858, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 342, 858, 384 is 2.
1. What is the GCD of 752, 342, 858, 384?
GCD of given numbers 752, 342, 858, 384 is 2
2. How to calculate the greatest common divisor of 752, 342, 858, 384?
We can find the highest common divisor of 752, 342, 858, 384 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, 342, 858, 384 i.e 2.
3. How can I use the GCD of 752, 342, 858, 384Calculator?
Out the numbers 752, 342, 858, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.