Online GCD Calculator is useful to find the GCD of 205, 137, 900, 577 quickly. Get the easiest ways to solve the greatest common divisor of 205, 137, 900, 577 i.e 1 in different methods as follows.
Given Input numbers are 205, 137, 900, 577
In the factoring method, we have to find the divisors of all numbers
Divisors of 205 :
The positive integer divisors of 205 that completely divides 205 are.
1, 5, 41, 205
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
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 577 :
The positive integer divisors of 577 that completely divides 577 are.
1, 577
GCD of numbers is the greatest common divisor
So, the GCD (205, 137, 900, 577) = 1.
Given numbers are 205, 137, 900, 577
The list of prime factors of all numbers are
Prime factors of 205 are 5 x 41
Prime factors of 137 are 137
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 577 are 577
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 205, 137, 900, 577
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(205, 137) = 28085
GCD(205, 137) = ( 205 x 137 ) / 28085
= 205 / 137
= 205
Step2:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
Step3:
LCM(1, 577) = 577
GCD(1, 577) = ( 1 x 577 ) / 577
= 1 / 577
= 1
So, Greatest Common Divisor of 205, 137, 900, 577 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 205, 137, 900, 577
The greatest common divisor of numbers 205, 137, 900, 577 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 137, 900, 577 is 1.
1. What is the GCD of 205, 137, 900, 577?
GCD of given numbers 205, 137, 900, 577 is 1
2. How to calculate the greatest common divisor of 205, 137, 900, 577?
We can find the highest common divisor of 205, 137, 900, 577 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 205, 137, 900, 577 i.e 1.
3. How can I use the GCD of 205, 137, 900, 577Calculator?
Out the numbers 205, 137, 900, 577 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.