Online GCD Calculator is useful to find the GCD of 432, 716, 471, 117 quickly. Get the easiest ways to solve the greatest common divisor of 432, 716, 471, 117 i.e 1 in different methods as follows.
Given Input numbers are 432, 716, 471, 117
In the factoring method, we have to find the divisors of all numbers
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 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (432, 716, 471, 117) = 1.
Given numbers are 432, 716, 471, 117
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 716 are 2 x 2 x 179
Prime factors of 471 are 3 x 157
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 432, 716, 471, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 716) = 77328
GCD(432, 716) = ( 432 x 716 ) / 77328
= 432 / 716
= 432
Step2:
LCM(4, 471) = 1884
GCD(4, 471) = ( 4 x 471 ) / 1884
= 4 / 471
= 4
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 432, 716, 471, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 716, 471, 117
The greatest common divisor of numbers 432, 716, 471, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 716, 471, 117 is 1.
1. What is the GCD of 432, 716, 471, 117?
GCD of given numbers 432, 716, 471, 117 is 1
2. How to calculate the greatest common divisor of 432, 716, 471, 117?
We can find the highest common divisor of 432, 716, 471, 117 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 432, 716, 471, 117 i.e 1.
3. How can I use the GCD of 432, 716, 471, 117Calculator?
Out the numbers 432, 716, 471, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.