Online GCD Calculator is useful to find the GCD of 814, 640, 221, 224 quickly. Get the easiest ways to solve the greatest common divisor of 814, 640, 221, 224 i.e 1 in different methods as follows.
Given Input numbers are 814, 640, 221, 224
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
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
GCD of numbers is the greatest common divisor
So, the GCD (814, 640, 221, 224) = 1.
Given numbers are 814, 640, 221, 224
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 221 are 13 x 17
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 814, 640, 221, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 640) = 260480
GCD(814, 640) = ( 814 x 640 ) / 260480
= 814 / 640
= 814
Step2:
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
= 2 / 221
= 2
Step3:
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
= 1 / 224
= 1
So, Greatest Common Divisor of 814, 640, 221, 224 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 640, 221, 224
The greatest common divisor of numbers 814, 640, 221, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 640, 221, 224 is 1.
1. What is the GCD of 814, 640, 221, 224?
GCD of given numbers 814, 640, 221, 224 is 1
2. How to calculate the greatest common divisor of 814, 640, 221, 224?
We can find the highest common divisor of 814, 640, 221, 224 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 814, 640, 221, 224 i.e 1.
3. How can I use the GCD of 814, 640, 221, 224Calculator?
Out the numbers 814, 640, 221, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.