Online GCD Calculator is useful to find the GCD of 224, 438, 960, 614 quickly. Get the easiest ways to solve the greatest common divisor of 224, 438, 960, 614 i.e 2 in different methods as follows.
Given Input numbers are 224, 438, 960, 614
In the factoring method, we have to find the divisors of all numbers
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
GCD of numbers is the greatest common divisor
So, the GCD (224, 438, 960, 614) = 2.
Given numbers are 224, 438, 960, 614
The list of prime factors of all numbers are
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 438 are 2 x 3 x 73
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 614 are 2 x 307
The highest common occurrence is 21
Therefore, GCD of 224, 438, 960, 614 is 2.
Given numbers are 224, 438, 960, 614
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 438) = 49056
GCD(224, 438) = ( 224 x 438 ) / 49056
= 224 / 438
= 224
Step2:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
Step3:
LCM(2, 614) = 614
GCD(2, 614) = ( 2 x 614 ) / 614
= 2 / 614
= 2
So, Greatest Common Divisor of 224, 438, 960, 614 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 224, 438, 960, 614
The greatest common divisor of numbers 224, 438, 960, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 438, 960, 614 is 2.
1. What is the GCD of 224, 438, 960, 614?
GCD of given numbers 224, 438, 960, 614 is 2
2. How to calculate the greatest common divisor of 224, 438, 960, 614?
We can find the highest common divisor of 224, 438, 960, 614 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 224, 438, 960, 614 i.e 2.
3. How can I use the GCD of 224, 438, 960, 614Calculator?
Out the numbers 224, 438, 960, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.