Online GCD Calculator is useful to find the GCD of 920, 566, 752, 382 quickly. Get the easiest ways to solve the greatest common divisor of 920, 566, 752, 382 i.e 2 in different methods as follows.
Given Input numbers are 920, 566, 752, 382
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 566 :
The positive integer divisors of 566 that completely divides 566 are.
1, 2, 283, 566
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 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (920, 566, 752, 382) = 2.
Given numbers are 920, 566, 752, 382
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 566 are 2 x 283
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 382 are 2 x 191
The highest common occurrence is 21
Therefore, GCD of 920, 566, 752, 382 is 2.
Given numbers are 920, 566, 752, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 566) = 260360
GCD(920, 566) = ( 920 x 566 ) / 260360
= 920 / 566
= 920
Step2:
LCM(2, 752) = 752
GCD(2, 752) = ( 2 x 752 ) / 752
= 2 / 752
= 2
Step3:
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
= 2 / 382
= 2
So, Greatest Common Divisor of 920, 566, 752, 382 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 566, 752, 382
The greatest common divisor of numbers 920, 566, 752, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 566, 752, 382 is 2.
1. What is the GCD of 920, 566, 752, 382?
GCD of given numbers 920, 566, 752, 382 is 2
2. How to calculate the greatest common divisor of 920, 566, 752, 382?
We can find the highest common divisor of 920, 566, 752, 382 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 920, 566, 752, 382 i.e 2.
3. How can I use the GCD of 920, 566, 752, 382Calculator?
Out the numbers 920, 566, 752, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.