Online GCD Calculator is useful to find the GCD of 364, 218, 792, 490 quickly. Get the easiest ways to solve the greatest common divisor of 364, 218, 792, 490 i.e 2 in different methods as follows.
Given Input numbers are 364, 218, 792, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
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 (364, 218, 792, 490) = 2.
Given numbers are 364, 218, 792, 490
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 218 are 2 x 109
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 364, 218, 792, 490 is 2.
Given numbers are 364, 218, 792, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 218) = 39676
GCD(364, 218) = ( 364 x 218 ) / 39676
= 364 / 218
= 364
Step2:
LCM(2, 792) = 792
GCD(2, 792) = ( 2 x 792 ) / 792
= 2 / 792
= 2
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 364, 218, 792, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 218, 792, 490
The greatest common divisor of numbers 364, 218, 792, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 218, 792, 490 is 2.
1. What is the GCD of 364, 218, 792, 490?
GCD of given numbers 364, 218, 792, 490 is 2
2. How to calculate the greatest common divisor of 364, 218, 792, 490?
We can find the highest common divisor of 364, 218, 792, 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 364, 218, 792, 490 i.e 2.
3. How can I use the GCD of 364, 218, 792, 490Calculator?
Out the numbers 364, 218, 792, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.