Online GCD Calculator is useful to find the GCD of 848, 312, 764, 990 quickly. Get the easiest ways to solve the greatest common divisor of 848, 312, 764, 990 i.e 2 in different methods as follows.
Given Input numbers are 848, 312, 764, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (848, 312, 764, 990) = 2.
Given numbers are 848, 312, 764, 990
The list of prime factors of all numbers are
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 764 are 2 x 2 x 191
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 848, 312, 764, 990 is 2.
Given numbers are 848, 312, 764, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(848, 312) = 33072
GCD(848, 312) = ( 848 x 312 ) / 33072
= 848 / 312
= 848
Step2:
LCM(8, 764) = 1528
GCD(8, 764) = ( 8 x 764 ) / 1528
= 8 / 764
= 8
Step3:
LCM(4, 990) = 1980
GCD(4, 990) = ( 4 x 990 ) / 1980
= 4 / 990
= 4
So, Greatest Common Divisor of 848, 312, 764, 990 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 848, 312, 764, 990
The greatest common divisor of numbers 848, 312, 764, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 848, 312, 764, 990 is 2.
1. What is the GCD of 848, 312, 764, 990?
GCD of given numbers 848, 312, 764, 990 is 2
2. How to calculate the greatest common divisor of 848, 312, 764, 990?
We can find the highest common divisor of 848, 312, 764, 990 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 848, 312, 764, 990 i.e 2.
3. How can I use the GCD of 848, 312, 764, 990Calculator?
Out the numbers 848, 312, 764, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.