Online GCD Calculator is useful to find the GCD of 990, 564, 876, 537 quickly. Get the easiest ways to solve the greatest common divisor of 990, 564, 876, 537 i.e 3 in different methods as follows.
Given Input numbers are 990, 564, 876, 537
In the factoring method, we have to find the divisors of all numbers
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 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 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
GCD of numbers is the greatest common divisor
So, the GCD (990, 564, 876, 537) = 3.
Given numbers are 990, 564, 876, 537
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 537 are 3 x 179
The highest common occurrence is 31
Therefore, GCD of 990, 564, 876, 537 is 3.
Given numbers are 990, 564, 876, 537
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 564) = 93060
GCD(990, 564) = ( 990 x 564 ) / 93060
= 990 / 564
= 990
Step2:
LCM(6, 876) = 876
GCD(6, 876) = ( 6 x 876 ) / 876
= 6 / 876
= 6
Step3:
LCM(6, 537) = 1074
GCD(6, 537) = ( 6 x 537 ) / 1074
= 6 / 537
= 6
So, Greatest Common Divisor of 990, 564, 876, 537 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 564, 876, 537
The greatest common divisor of numbers 990, 564, 876, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 564, 876, 537 is 3.
1. What is the GCD of 990, 564, 876, 537?
GCD of given numbers 990, 564, 876, 537 is 3
2. How to calculate the greatest common divisor of 990, 564, 876, 537?
We can find the highest common divisor of 990, 564, 876, 537 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 990, 564, 876, 537 i.e 3.
3. How can I use the GCD of 990, 564, 876, 537Calculator?
Out the numbers 990, 564, 876, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.