Online GCD Calculator is useful to find the GCD of 867, 471, 514, 132 quickly. Get the easiest ways to solve the greatest common divisor of 867, 471, 514, 132 i.e 1 in different methods as follows.
Given Input numbers are 867, 471, 514, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
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
GCD of numbers is the greatest common divisor
So, the GCD (867, 471, 514, 132) = 1.
Given numbers are 867, 471, 514, 132
The list of prime factors of all numbers are
Prime factors of 867 are 3 x 17 x 17
Prime factors of 471 are 3 x 157
Prime factors of 514 are 2 x 257
Prime factors of 132 are 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 867, 471, 514, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(867, 471) = 136119
GCD(867, 471) = ( 867 x 471 ) / 136119
= 867 / 471
= 867
Step2:
LCM(3, 514) = 1542
GCD(3, 514) = ( 3 x 514 ) / 1542
= 3 / 514
= 3
Step3:
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
= 1 / 132
= 1
So, Greatest Common Divisor of 867, 471, 514, 132 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 867, 471, 514, 132
The greatest common divisor of numbers 867, 471, 514, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 471, 514, 132 is 1.
1. What is the GCD of 867, 471, 514, 132?
GCD of given numbers 867, 471, 514, 132 is 1
2. How to calculate the greatest common divisor of 867, 471, 514, 132?
We can find the highest common divisor of 867, 471, 514, 132 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 867, 471, 514, 132 i.e 1.
3. How can I use the GCD of 867, 471, 514, 132Calculator?
Out the numbers 867, 471, 514, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.