Online GCD Calculator is useful to find the GCD of 364, 120, 511, 209 quickly. Get the easiest ways to solve the greatest common divisor of 364, 120, 511, 209 i.e 1 in different methods as follows.
Given Input numbers are 364, 120, 511, 209
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 511 :
The positive integer divisors of 511 that completely divides 511 are.
1, 7, 73, 511
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
GCD of numbers is the greatest common divisor
So, the GCD (364, 120, 511, 209) = 1.
Given numbers are 364, 120, 511, 209
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 511 are 7 x 73
Prime factors of 209 are 11 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 364, 120, 511, 209
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 120) = 10920
GCD(364, 120) = ( 364 x 120 ) / 10920
= 364 / 120
= 364
Step2:
LCM(4, 511) = 2044
GCD(4, 511) = ( 4 x 511 ) / 2044
= 4 / 511
= 4
Step3:
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
= 1 / 209
= 1
So, Greatest Common Divisor of 364, 120, 511, 209 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 120, 511, 209
The greatest common divisor of numbers 364, 120, 511, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 120, 511, 209 is 1.
1. What is the GCD of 364, 120, 511, 209?
GCD of given numbers 364, 120, 511, 209 is 1
2. How to calculate the greatest common divisor of 364, 120, 511, 209?
We can find the highest common divisor of 364, 120, 511, 209 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 364, 120, 511, 209 i.e 1.
3. How can I use the GCD of 364, 120, 511, 209Calculator?
Out the numbers 364, 120, 511, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.