Online GCD Calculator is useful to find the GCD of 132, 307, 470, 936 quickly. Get the easiest ways to solve the greatest common divisor of 132, 307, 470, 936 i.e 1 in different methods as follows.
Given Input numbers are 132, 307, 470, 936
In the factoring method, we have to find the divisors of all numbers
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 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
GCD of numbers is the greatest common divisor
So, the GCD (132, 307, 470, 936) = 1.
Given numbers are 132, 307, 470, 936
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 307 are 307
Prime factors of 470 are 2 x 5 x 47
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 307, 470, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 307) = 40524
GCD(132, 307) = ( 132 x 307 ) / 40524
= 132 / 307
= 132
Step2:
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
= 1 / 470
= 1
Step3:
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
= 1 / 936
= 1
So, Greatest Common Divisor of 132, 307, 470, 936 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 307, 470, 936
The greatest common divisor of numbers 132, 307, 470, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 307, 470, 936 is 1.
1. What is the GCD of 132, 307, 470, 936?
GCD of given numbers 132, 307, 470, 936 is 1
2. How to calculate the greatest common divisor of 132, 307, 470, 936?
We can find the highest common divisor of 132, 307, 470, 936 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 132, 307, 470, 936 i.e 1.
3. How can I use the GCD of 132, 307, 470, 936Calculator?
Out the numbers 132, 307, 470, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.