Online GCD Calculator is useful to find the GCD of 771, 789, 432, 214 quickly. Get the easiest ways to solve the greatest common divisor of 771, 789, 432, 214 i.e 1 in different methods as follows.
Given Input numbers are 771, 789, 432, 214
In the factoring method, we have to find the divisors of all numbers
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
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 (771, 789, 432, 214) = 1.
Given numbers are 771, 789, 432, 214
The list of prime factors of all numbers are
Prime factors of 771 are 3 x 257
Prime factors of 789 are 3 x 263
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
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 771, 789, 432, 214
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(771, 789) = 202773
GCD(771, 789) = ( 771 x 789 ) / 202773
= 771 / 789
= 771
Step2:
LCM(3, 432) = 432
GCD(3, 432) = ( 3 x 432 ) / 432
= 3 / 432
= 3
Step3:
LCM(3, 214) = 642
GCD(3, 214) = ( 3 x 214 ) / 642
= 3 / 214
= 3
So, Greatest Common Divisor of 771, 789, 432, 214 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 771, 789, 432, 214
The greatest common divisor of numbers 771, 789, 432, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 789, 432, 214 is 1.
1. What is the GCD of 771, 789, 432, 214?
GCD of given numbers 771, 789, 432, 214 is 1
2. How to calculate the greatest common divisor of 771, 789, 432, 214?
We can find the highest common divisor of 771, 789, 432, 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 771, 789, 432, 214 i.e 1.
3. How can I use the GCD of 771, 789, 432, 214Calculator?
Out the numbers 771, 789, 432, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.