Online GCD Calculator is useful to find the GCD of 990, 294, 542, 450 quickly. Get the easiest ways to solve the greatest common divisor of 990, 294, 542, 450 i.e 2 in different methods as follows.
Given Input numbers are 990, 294, 542, 450
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 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
GCD of numbers is the greatest common divisor
So, the GCD (990, 294, 542, 450) = 2.
Given numbers are 990, 294, 542, 450
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 294 are 2 x 3 x 7 x 7
Prime factors of 542 are 2 x 271
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 990, 294, 542, 450 is 2.
Given numbers are 990, 294, 542, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 294) = 48510
GCD(990, 294) = ( 990 x 294 ) / 48510
= 990 / 294
= 990
Step2:
LCM(6, 542) = 1626
GCD(6, 542) = ( 6 x 542 ) / 1626
= 6 / 542
= 6
Step3:
LCM(2, 450) = 450
GCD(2, 450) = ( 2 x 450 ) / 450
= 2 / 450
= 2
So, Greatest Common Divisor of 990, 294, 542, 450 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 294, 542, 450
The greatest common divisor of numbers 990, 294, 542, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 294, 542, 450 is 2.
1. What is the GCD of 990, 294, 542, 450?
GCD of given numbers 990, 294, 542, 450 is 2
2. How to calculate the greatest common divisor of 990, 294, 542, 450?
We can find the highest common divisor of 990, 294, 542, 450 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, 294, 542, 450 i.e 2.
3. How can I use the GCD of 990, 294, 542, 450Calculator?
Out the numbers 990, 294, 542, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.