Online GCD Calculator is useful to find the GCD of 490, 552, 366, 516 quickly. Get the easiest ways to solve the greatest common divisor of 490, 552, 366, 516 i.e 2 in different methods as follows.
Given Input numbers are 490, 552, 366, 516
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
GCD of numbers is the greatest common divisor
So, the GCD (490, 552, 366, 516) = 2.
Given numbers are 490, 552, 366, 516
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 366 are 2 x 3 x 61
Prime factors of 516 are 2 x 2 x 3 x 43
The highest common occurrence is 21
Therefore, GCD of 490, 552, 366, 516 is 2.
Given numbers are 490, 552, 366, 516
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 552) = 135240
GCD(490, 552) = ( 490 x 552 ) / 135240
= 490 / 552
= 490
Step2:
LCM(2, 366) = 366
GCD(2, 366) = ( 2 x 366 ) / 366
= 2 / 366
= 2
Step3:
LCM(2, 516) = 516
GCD(2, 516) = ( 2 x 516 ) / 516
= 2 / 516
= 2
So, Greatest Common Divisor of 490, 552, 366, 516 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 552, 366, 516
The greatest common divisor of numbers 490, 552, 366, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 552, 366, 516 is 2.
1. What is the GCD of 490, 552, 366, 516?
GCD of given numbers 490, 552, 366, 516 is 2
2. How to calculate the greatest common divisor of 490, 552, 366, 516?
We can find the highest common divisor of 490, 552, 366, 516 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 490, 552, 366, 516 i.e 2.
3. How can I use the GCD of 490, 552, 366, 516Calculator?
Out the numbers 490, 552, 366, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.