Online GCD Calculator is useful to find the GCD of 117, 217, 431 quickly. Get the easiest ways to solve the greatest common divisor of 117, 217, 431 i.e 1 in different methods as follows.
Given Input numbers are 117, 217, 431
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
Divisors of 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
GCD of numbers is the greatest common divisor
So, the GCD (117, 217, 431) = 1.
Given numbers are 117, 217, 431
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 217 are 7 x 31
Prime factors of 431 are 431
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 117, 217, 431
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 217) = 25389
GCD(117, 217) = ( 117 x 217 ) / 25389
= 117 / 217
= 117
Step2:
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
= 1 / 431
= 1
So, Greatest Common Divisor of 117, 217, 431 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 217, 431
The greatest common divisor of numbers 117, 217, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 217, 431 is 1.
1. What is the GCD of 117, 217, 431?
GCD of given numbers 117, 217, 431 is 1
2. How to calculate the greatest common divisor of 117, 217, 431?
We can find the highest common divisor of 117, 217, 431 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 117, 217, 431 i.e 1.
3. How can I use the GCD of 117, 217, 431Calculator?
Out the numbers 117, 217, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.