Online GCD Calculator is useful to find the GCD of 752, 820, 846, 904 quickly. Get the easiest ways to solve the greatest common divisor of 752, 820, 846, 904 i.e 2 in different methods as follows.
Given Input numbers are 752, 820, 846, 904
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 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
GCD of numbers is the greatest common divisor
So, the GCD (752, 820, 846, 904) = 2.
Given numbers are 752, 820, 846, 904
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 820 are 2 x 2 x 5 x 41
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 904 are 2 x 2 x 2 x 113
The highest common occurrence is 21
Therefore, GCD of 752, 820, 846, 904 is 2.
Given numbers are 752, 820, 846, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 820) = 154160
GCD(752, 820) = ( 752 x 820 ) / 154160
= 752 / 820
= 752
Step2:
LCM(4, 846) = 1692
GCD(4, 846) = ( 4 x 846 ) / 1692
= 4 / 846
= 4
Step3:
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
= 2 / 904
= 2
So, Greatest Common Divisor of 752, 820, 846, 904 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 752, 820, 846, 904
The greatest common divisor of numbers 752, 820, 846, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 820, 846, 904 is 2.
1. What is the GCD of 752, 820, 846, 904?
GCD of given numbers 752, 820, 846, 904 is 2
2. How to calculate the greatest common divisor of 752, 820, 846, 904?
We can find the highest common divisor of 752, 820, 846, 904 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, 820, 846, 904 i.e 2.
3. How can I use the GCD of 752, 820, 846, 904Calculator?
Out the numbers 752, 820, 846, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.