Online GCD Calculator is useful to find the GCD of 650, 904, 784, 242 quickly. Get the easiest ways to solve the greatest common divisor of 650, 904, 784, 242 i.e 2 in different methods as follows.
Given Input numbers are 650, 904, 784, 242
In the factoring method, we have to find the divisors of all numbers
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
GCD of numbers is the greatest common divisor
So, the GCD (650, 904, 784, 242) = 2.
Given numbers are 650, 904, 784, 242
The list of prime factors of all numbers are
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 242 are 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 650, 904, 784, 242 is 2.
Given numbers are 650, 904, 784, 242
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(650, 904) = 293800
GCD(650, 904) = ( 650 x 904 ) / 293800
= 650 / 904
= 650
Step2:
LCM(2, 784) = 784
GCD(2, 784) = ( 2 x 784 ) / 784
= 2 / 784
= 2
Step3:
LCM(2, 242) = 242
GCD(2, 242) = ( 2 x 242 ) / 242
= 2 / 242
= 2
So, Greatest Common Divisor of 650, 904, 784, 242 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 650, 904, 784, 242
The greatest common divisor of numbers 650, 904, 784, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 904, 784, 242 is 2.
1. What is the GCD of 650, 904, 784, 242?
GCD of given numbers 650, 904, 784, 242 is 2
2. How to calculate the greatest common divisor of 650, 904, 784, 242?
We can find the highest common divisor of 650, 904, 784, 242 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 650, 904, 784, 242 i.e 2.
3. How can I use the GCD of 650, 904, 784, 242Calculator?
Out the numbers 650, 904, 784, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.