Online GCD Calculator is useful to find the GCD of 721, 340, 214 quickly. Get the easiest ways to solve the greatest common divisor of 721, 340, 214 i.e 1 in different methods as follows.
Given Input numbers are 721, 340, 214
In the factoring method, we have to find the divisors of all numbers
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
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 (721, 340, 214) = 1.
Given numbers are 721, 340, 214
The list of prime factors of all numbers are
Prime factors of 721 are 7 x 103
Prime factors of 340 are 2 x 2 x 5 x 17
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 721, 340, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(721, 340) = 245140
GCD(721, 340) = ( 721 x 340 ) / 245140
= 721 / 340
= 721
Step2:
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
= 1 / 214
= 1
So, Greatest Common Divisor of 721, 340, 214 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 721, 340, 214
The greatest common divisor of numbers 721, 340, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 340, 214 is 1.
1. What is the GCD of 721, 340, 214?
GCD of given numbers 721, 340, 214 is 1
2. How to calculate the greatest common divisor of 721, 340, 214?
We can find the highest common divisor of 721, 340, 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 721, 340, 214 i.e 1.
3. How can I use the GCD of 721, 340, 214Calculator?
Out the numbers 721, 340, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.