Online GCD Calculator is useful to find the GCD of 209, 920, 849, 318 quickly. Get the easiest ways to solve the greatest common divisor of 209, 920, 849, 318 i.e 1 in different methods as follows.
Given Input numbers are 209, 920, 849, 318
In the factoring method, we have to find the divisors of all numbers
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
GCD of numbers is the greatest common divisor
So, the GCD (209, 920, 849, 318) = 1.
Given numbers are 209, 920, 849, 318
The list of prime factors of all numbers are
Prime factors of 209 are 11 x 19
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 849 are 3 x 283
Prime factors of 318 are 2 x 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 209, 920, 849, 318
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(209, 920) = 192280
GCD(209, 920) = ( 209 x 920 ) / 192280
= 209 / 920
= 209
Step2:
LCM(1, 849) = 849
GCD(1, 849) = ( 1 x 849 ) / 849
= 1 / 849
= 1
Step3:
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
= 1 / 318
= 1
So, Greatest Common Divisor of 209, 920, 849, 318 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 209, 920, 849, 318
The greatest common divisor of numbers 209, 920, 849, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 920, 849, 318 is 1.
1. What is the GCD of 209, 920, 849, 318?
GCD of given numbers 209, 920, 849, 318 is 1
2. How to calculate the greatest common divisor of 209, 920, 849, 318?
We can find the highest common divisor of 209, 920, 849, 318 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 209, 920, 849, 318 i.e 1.
3. How can I use the GCD of 209, 920, 849, 318Calculator?
Out the numbers 209, 920, 849, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.