Online GCD Calculator is useful to find the GCD of 564, 990, 476, 846 quickly. Get the easiest ways to solve the greatest common divisor of 564, 990, 476, 846 i.e 2 in different methods as follows.
Given Input numbers are 564, 990, 476, 846
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
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
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
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
GCD of numbers is the greatest common divisor
So, the GCD (564, 990, 476, 846) = 2.
Given numbers are 564, 990, 476, 846
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 846 are 2 x 3 x 3 x 47
The highest common occurrence is 21
Therefore, GCD of 564, 990, 476, 846 is 2.
Given numbers are 564, 990, 476, 846
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 990) = 93060
GCD(564, 990) = ( 564 x 990 ) / 93060
= 564 / 990
= 564
Step2:
LCM(6, 476) = 1428
GCD(6, 476) = ( 6 x 476 ) / 1428
= 6 / 476
= 6
Step3:
LCM(2, 846) = 846
GCD(2, 846) = ( 2 x 846 ) / 846
= 2 / 846
= 2
So, Greatest Common Divisor of 564, 990, 476, 846 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 990, 476, 846
The greatest common divisor of numbers 564, 990, 476, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 990, 476, 846 is 2.
1. What is the GCD of 564, 990, 476, 846?
GCD of given numbers 564, 990, 476, 846 is 2
2. How to calculate the greatest common divisor of 564, 990, 476, 846?
We can find the highest common divisor of 564, 990, 476, 846 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 564, 990, 476, 846 i.e 2.
3. How can I use the GCD of 564, 990, 476, 846Calculator?
Out the numbers 564, 990, 476, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.