Online GCD Calculator is useful to find the GCD of 900, 814, 200, 669 quickly. Get the easiest ways to solve the greatest common divisor of 900, 814, 200, 669 i.e 1 in different methods as follows.
Given Input numbers are 900, 814, 200, 669
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 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
GCD of numbers is the greatest common divisor
So, the GCD (900, 814, 200, 669) = 1.
Given numbers are 900, 814, 200, 669
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 814 are 2 x 11 x 37
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 669 are 3 x 223
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 814, 200, 669
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 814) = 366300
GCD(900, 814) = ( 900 x 814 ) / 366300
= 900 / 814
= 900
Step2:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
Step3:
LCM(2, 669) = 1338
GCD(2, 669) = ( 2 x 669 ) / 1338
= 2 / 669
= 2
So, Greatest Common Divisor of 900, 814, 200, 669 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 814, 200, 669
The greatest common divisor of numbers 900, 814, 200, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 814, 200, 669 is 1.
1. What is the GCD of 900, 814, 200, 669?
GCD of given numbers 900, 814, 200, 669 is 1
2. How to calculate the greatest common divisor of 900, 814, 200, 669?
We can find the highest common divisor of 900, 814, 200, 669 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, 814, 200, 669 i.e 1.
3. How can I use the GCD of 900, 814, 200, 669Calculator?
Out the numbers 900, 814, 200, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.