Online GCD Calculator is useful to find the GCD of 294, 704, 250, 394 quickly. Get the easiest ways to solve the greatest common divisor of 294, 704, 250, 394 i.e 2 in different methods as follows.
Given Input numbers are 294, 704, 250, 394
In the factoring method, we have to find the divisors of all numbers
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
GCD of numbers is the greatest common divisor
So, the GCD (294, 704, 250, 394) = 2.
Given numbers are 294, 704, 250, 394
The list of prime factors of all numbers are
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 394 are 2 x 197
The highest common occurrence is 21
Therefore, GCD of 294, 704, 250, 394 is 2.
Given numbers are 294, 704, 250, 394
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(294, 704) = 103488
GCD(294, 704) = ( 294 x 704 ) / 103488
= 294 / 704
= 294
Step2:
LCM(2, 250) = 250
GCD(2, 250) = ( 2 x 250 ) / 250
= 2 / 250
= 2
Step3:
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
= 2 / 394
= 2
So, Greatest Common Divisor of 294, 704, 250, 394 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 294, 704, 250, 394
The greatest common divisor of numbers 294, 704, 250, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 704, 250, 394 is 2.
1. What is the GCD of 294, 704, 250, 394?
GCD of given numbers 294, 704, 250, 394 is 2
2. How to calculate the greatest common divisor of 294, 704, 250, 394?
We can find the highest common divisor of 294, 704, 250, 394 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 294, 704, 250, 394 i.e 2.
3. How can I use the GCD of 294, 704, 250, 394Calculator?
Out the numbers 294, 704, 250, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.