Online GCD Calculator is useful to find the GCD of 318, 272, 225, 434 quickly. Get the easiest ways to solve the greatest common divisor of 318, 272, 225, 434 i.e 1 in different methods as follows.
Given Input numbers are 318, 272, 225, 434
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (318, 272, 225, 434) = 1.
Given numbers are 318, 272, 225, 434
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 434 are 2 x 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 318, 272, 225, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 272) = 43248
GCD(318, 272) = ( 318 x 272 ) / 43248
= 318 / 272
= 318
Step2:
LCM(2, 225) = 450
GCD(2, 225) = ( 2 x 225 ) / 450
= 2 / 225
= 2
Step3:
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
= 1 / 434
= 1
So, Greatest Common Divisor of 318, 272, 225, 434 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 272, 225, 434
The greatest common divisor of numbers 318, 272, 225, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 272, 225, 434 is 1.
1. What is the GCD of 318, 272, 225, 434?
GCD of given numbers 318, 272, 225, 434 is 1
2. How to calculate the greatest common divisor of 318, 272, 225, 434?
We can find the highest common divisor of 318, 272, 225, 434 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 318, 272, 225, 434 i.e 1.
3. How can I use the GCD of 318, 272, 225, 434Calculator?
Out the numbers 318, 272, 225, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.