Online GCD Calculator is useful to find the GCD of 576, 334, 996, 490 quickly. Get the easiest ways to solve the greatest common divisor of 576, 334, 996, 490 i.e 2 in different methods as follows.
Given Input numbers are 576, 334, 996, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
GCD of numbers is the greatest common divisor
So, the GCD (576, 334, 996, 490) = 2.
Given numbers are 576, 334, 996, 490
The list of prime factors of all numbers are
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 334 are 2 x 167
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 576, 334, 996, 490 is 2.
Given numbers are 576, 334, 996, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(576, 334) = 96192
GCD(576, 334) = ( 576 x 334 ) / 96192
= 576 / 334
= 576
Step2:
LCM(2, 996) = 996
GCD(2, 996) = ( 2 x 996 ) / 996
= 2 / 996
= 2
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 576, 334, 996, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 576, 334, 996, 490
The greatest common divisor of numbers 576, 334, 996, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 334, 996, 490 is 2.
1. What is the GCD of 576, 334, 996, 490?
GCD of given numbers 576, 334, 996, 490 is 2
2. How to calculate the greatest common divisor of 576, 334, 996, 490?
We can find the highest common divisor of 576, 334, 996, 490 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 576, 334, 996, 490 i.e 2.
3. How can I use the GCD of 576, 334, 996, 490Calculator?
Out the numbers 576, 334, 996, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.