Online GCD Calculator is useful to find the GCD of 680, 189, 363, 898 quickly. Get the easiest ways to solve the greatest common divisor of 680, 189, 363, 898 i.e 1 in different methods as follows.
Given Input numbers are 680, 189, 363, 898
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (680, 189, 363, 898) = 1.
Given numbers are 680, 189, 363, 898
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 363 are 3 x 11 x 11
Prime factors of 898 are 2 x 449
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 189, 363, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 189) = 128520
GCD(680, 189) = ( 680 x 189 ) / 128520
= 680 / 189
= 680
Step2:
LCM(1, 363) = 363
GCD(1, 363) = ( 1 x 363 ) / 363
= 1 / 363
= 1
Step3:
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
= 1 / 898
= 1
So, Greatest Common Divisor of 680, 189, 363, 898 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 189, 363, 898
The greatest common divisor of numbers 680, 189, 363, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 189, 363, 898 is 1.
1. What is the GCD of 680, 189, 363, 898?
GCD of given numbers 680, 189, 363, 898 is 1
2. How to calculate the greatest common divisor of 680, 189, 363, 898?
We can find the highest common divisor of 680, 189, 363, 898 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 680, 189, 363, 898 i.e 1.
3. How can I use the GCD of 680, 189, 363, 898Calculator?
Out the numbers 680, 189, 363, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.