Online GCD Calculator is useful to find the GCD of 690, 304, 448, 494 quickly. Get the easiest ways to solve the greatest common divisor of 690, 304, 448, 494 i.e 2 in different methods as follows.
Given Input numbers are 690, 304, 448, 494
In the factoring method, we have to find the divisors of all numbers
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
GCD of numbers is the greatest common divisor
So, the GCD (690, 304, 448, 494) = 2.
Given numbers are 690, 304, 448, 494
The list of prime factors of all numbers are
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 494 are 2 x 13 x 19
The highest common occurrence is 21
Therefore, GCD of 690, 304, 448, 494 is 2.
Given numbers are 690, 304, 448, 494
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(690, 304) = 104880
GCD(690, 304) = ( 690 x 304 ) / 104880
= 690 / 304
= 690
Step2:
LCM(2, 448) = 448
GCD(2, 448) = ( 2 x 448 ) / 448
= 2 / 448
= 2
Step3:
LCM(2, 494) = 494
GCD(2, 494) = ( 2 x 494 ) / 494
= 2 / 494
= 2
So, Greatest Common Divisor of 690, 304, 448, 494 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 690, 304, 448, 494
The greatest common divisor of numbers 690, 304, 448, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 304, 448, 494 is 2.
1. What is the GCD of 690, 304, 448, 494?
GCD of given numbers 690, 304, 448, 494 is 2
2. How to calculate the greatest common divisor of 690, 304, 448, 494?
We can find the highest common divisor of 690, 304, 448, 494 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 690, 304, 448, 494 i.e 2.
3. How can I use the GCD of 690, 304, 448, 494Calculator?
Out the numbers 690, 304, 448, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.