Online GCD Calculator is useful to find the GCD of 224, 338, 864, 971 quickly. Get the easiest ways to solve the greatest common divisor of 224, 338, 864, 971 i.e 1 in different methods as follows.
Given Input numbers are 224, 338, 864, 971
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 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
GCD of numbers is the greatest common divisor
So, the GCD (224, 338, 864, 971) = 1.
Given numbers are 224, 338, 864, 971
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 338 are 2 x 13 x 13
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 971 are 971
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 224, 338, 864, 971
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 338) = 37856
GCD(224, 338) = ( 224 x 338 ) / 37856
= 224 / 338
= 224
Step2:
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
= 2 / 864
= 2
Step3:
LCM(2, 971) = 1942
GCD(2, 971) = ( 2 x 971 ) / 1942
= 2 / 971
= 2
So, Greatest Common Divisor of 224, 338, 864, 971 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 224, 338, 864, 971
The greatest common divisor of numbers 224, 338, 864, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 338, 864, 971 is 1.
1. What is the GCD of 224, 338, 864, 971?
GCD of given numbers 224, 338, 864, 971 is 1
2. How to calculate the greatest common divisor of 224, 338, 864, 971?
We can find the highest common divisor of 224, 338, 864, 971 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, 338, 864, 971 i.e 1.
3. How can I use the GCD of 224, 338, 864, 971Calculator?
Out the numbers 224, 338, 864, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.