Online GCD Calculator is useful to find the GCD of 492, 450, 558, 352 quickly. Get the easiest ways to solve the greatest common divisor of 492, 450, 558, 352 i.e 2 in different methods as follows.
Given Input numbers are 492, 450, 558, 352
In the factoring method, we have to find the divisors of all numbers
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
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
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
GCD of numbers is the greatest common divisor
So, the GCD (492, 450, 558, 352) = 2.
Given numbers are 492, 450, 558, 352
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 492, 450, 558, 352 is 2.
Given numbers are 492, 450, 558, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 450) = 36900
GCD(492, 450) = ( 492 x 450 ) / 36900
= 492 / 450
= 492
Step2:
LCM(6, 558) = 558
GCD(6, 558) = ( 6 x 558 ) / 558
= 6 / 558
= 6
Step3:
LCM(6, 352) = 1056
GCD(6, 352) = ( 6 x 352 ) / 1056
= 6 / 352
= 6
So, Greatest Common Divisor of 492, 450, 558, 352 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 450, 558, 352
The greatest common divisor of numbers 492, 450, 558, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 450, 558, 352 is 2.
1. What is the GCD of 492, 450, 558, 352?
GCD of given numbers 492, 450, 558, 352 is 2
2. How to calculate the greatest common divisor of 492, 450, 558, 352?
We can find the highest common divisor of 492, 450, 558, 352 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 492, 450, 558, 352 i.e 2.
3. How can I use the GCD of 492, 450, 558, 352Calculator?
Out the numbers 492, 450, 558, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.