Online GCD Calculator is useful to find the GCD of 898, 311, 738 quickly. Get the easiest ways to solve the greatest common divisor of 898, 311, 738 i.e 1 in different methods as follows.
Given Input numbers are 898, 311, 738
In the factoring method, we have to find the divisors of all numbers
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
GCD of numbers is the greatest common divisor
So, the GCD (898, 311, 738) = 1.
Given numbers are 898, 311, 738
The list of prime factors of all numbers are
Prime factors of 898 are 2 x 449
Prime factors of 311 are 311
Prime factors of 738 are 2 x 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 898, 311, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(898, 311) = 279278
GCD(898, 311) = ( 898 x 311 ) / 279278
= 898 / 311
= 898
Step2:
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
= 1 / 738
= 1
So, Greatest Common Divisor of 898, 311, 738 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 898, 311, 738
The greatest common divisor of numbers 898, 311, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 311, 738 is 1.
1. What is the GCD of 898, 311, 738?
GCD of given numbers 898, 311, 738 is 1
2. How to calculate the greatest common divisor of 898, 311, 738?
We can find the highest common divisor of 898, 311, 738 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 898, 311, 738 i.e 1.
3. How can I use the GCD of 898, 311, 738Calculator?
Out the numbers 898, 311, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.