Online GCD Calculator is useful to find the GCD of 271, 132, 780, 212 quickly. Get the easiest ways to solve the greatest common divisor of 271, 132, 780, 212 i.e 1 in different methods as follows.
Given Input numbers are 271, 132, 780, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (271, 132, 780, 212) = 1.
Given numbers are 271, 132, 780, 212
The list of prime factors of all numbers are
Prime factors of 271 are 271
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 212 are 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 271, 132, 780, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(271, 132) = 35772
GCD(271, 132) = ( 271 x 132 ) / 35772
= 271 / 132
= 271
Step2:
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
= 1 / 780
= 1
Step3:
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
= 1 / 212
= 1
So, Greatest Common Divisor of 271, 132, 780, 212 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 271, 132, 780, 212
The greatest common divisor of numbers 271, 132, 780, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 132, 780, 212 is 1.
1. What is the GCD of 271, 132, 780, 212?
GCD of given numbers 271, 132, 780, 212 is 1
2. How to calculate the greatest common divisor of 271, 132, 780, 212?
We can find the highest common divisor of 271, 132, 780, 212 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 271, 132, 780, 212 i.e 1.
3. How can I use the GCD of 271, 132, 780, 212Calculator?
Out the numbers 271, 132, 780, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.