Online GCD Calculator is useful to find the GCD of 900, 960, 409, 209 quickly. Get the easiest ways to solve the greatest common divisor of 900, 960, 409, 209 i.e 1 in different methods as follows.
Given Input numbers are 900, 960, 409, 209
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 409 :
The positive integer divisors of 409 that completely divides 409 are.
1, 409
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 (900, 960, 409, 209) = 1.
Given numbers are 900, 960, 409, 209
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 409 are 409
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 900, 960, 409, 209
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 960) = 14400
GCD(900, 960) = ( 900 x 960 ) / 14400
= 900 / 960
= 900
Step2:
LCM(60, 409) = 24540
GCD(60, 409) = ( 60 x 409 ) / 24540
= 60 / 409
= 60
Step3:
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
= 1 / 209
= 1
So, Greatest Common Divisor of 900, 960, 409, 209 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 960, 409, 209
The greatest common divisor of numbers 900, 960, 409, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 960, 409, 209 is 1.
1. What is the GCD of 900, 960, 409, 209?
GCD of given numbers 900, 960, 409, 209 is 1
2. How to calculate the greatest common divisor of 900, 960, 409, 209?
We can find the highest common divisor of 900, 960, 409, 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 900, 960, 409, 209 i.e 1.
3. How can I use the GCD of 900, 960, 409, 209Calculator?
Out the numbers 900, 960, 409, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.