Online GCD Calculator is useful to find the GCD of 369, 468, 898, 614 quickly. Get the easiest ways to solve the greatest common divisor of 369, 468, 898, 614 i.e 1 in different methods as follows.
Given Input numbers are 369, 468, 898, 614
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
GCD of numbers is the greatest common divisor
So, the GCD (369, 468, 898, 614) = 1.
Given numbers are 369, 468, 898, 614
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 898 are 2 x 449
Prime factors of 614 are 2 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 369, 468, 898, 614
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 468) = 19188
GCD(369, 468) = ( 369 x 468 ) / 19188
= 369 / 468
= 369
Step2:
LCM(9, 898) = 8082
GCD(9, 898) = ( 9 x 898 ) / 8082
= 9 / 898
= 9
Step3:
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
= 1 / 614
= 1
So, Greatest Common Divisor of 369, 468, 898, 614 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 369, 468, 898, 614
The greatest common divisor of numbers 369, 468, 898, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 468, 898, 614 is 1.
1. What is the GCD of 369, 468, 898, 614?
GCD of given numbers 369, 468, 898, 614 is 1
2. How to calculate the greatest common divisor of 369, 468, 898, 614?
We can find the highest common divisor of 369, 468, 898, 614 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 369, 468, 898, 614 i.e 1.
3. How can I use the GCD of 369, 468, 898, 614Calculator?
Out the numbers 369, 468, 898, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.