Online GCD Calculator is useful to find the GCD of 357, 803, 997, 214 quickly. Get the easiest ways to solve the greatest common divisor of 357, 803, 997, 214 i.e 1 in different methods as follows.
Given Input numbers are 357, 803, 997, 214
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 803 :
The positive integer divisors of 803 that completely divides 803 are.
1, 11, 73, 803
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
GCD of numbers is the greatest common divisor
So, the GCD (357, 803, 997, 214) = 1.
Given numbers are 357, 803, 997, 214
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 803 are 11 x 73
Prime factors of 997 are 997
Prime factors of 214 are 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 357, 803, 997, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 803) = 286671
GCD(357, 803) = ( 357 x 803 ) / 286671
= 357 / 803
= 357
Step2:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
Step3:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
So, Greatest Common Divisor of 357, 803, 997, 214 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 803, 997, 214
The greatest common divisor of numbers 357, 803, 997, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 803, 997, 214 is 1.
1. What is the GCD of 357, 803, 997, 214?
GCD of given numbers 357, 803, 997, 214 is 1
2. How to calculate the greatest common divisor of 357, 803, 997, 214?
We can find the highest common divisor of 357, 803, 997, 214 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 357, 803, 997, 214 i.e 1.
3. How can I use the GCD of 357, 803, 997, 214Calculator?
Out the numbers 357, 803, 997, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.