Online GCD Calculator is useful to find the GCD of 714, 214, 196, 921 quickly. Get the easiest ways to solve the greatest common divisor of 714, 214, 196, 921 i.e 1 in different methods as follows.
Given Input numbers are 714, 214, 196, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (714, 214, 196, 921) = 1.
Given numbers are 714, 214, 196, 921
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 214 are 2 x 107
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 921 are 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 714, 214, 196, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 214) = 76398
GCD(714, 214) = ( 714 x 214 ) / 76398
= 714 / 214
= 714
Step2:
LCM(2, 196) = 196
GCD(2, 196) = ( 2 x 196 ) / 196
= 2 / 196
= 2
Step3:
LCM(2, 921) = 1842
GCD(2, 921) = ( 2 x 921 ) / 1842
= 2 / 921
= 2
So, Greatest Common Divisor of 714, 214, 196, 921 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 214, 196, 921
The greatest common divisor of numbers 714, 214, 196, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 214, 196, 921 is 1.
1. What is the GCD of 714, 214, 196, 921?
GCD of given numbers 714, 214, 196, 921 is 1
2. How to calculate the greatest common divisor of 714, 214, 196, 921?
We can find the highest common divisor of 714, 214, 196, 921 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 714, 214, 196, 921 i.e 1.
3. How can I use the GCD of 714, 214, 196, 921Calculator?
Out the numbers 714, 214, 196, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.