Online GCD Calculator is useful to find the GCD of 308, 900, 600, 145 quickly. Get the easiest ways to solve the greatest common divisor of 308, 900, 600, 145 i.e 1 in different methods as follows.
Given Input numbers are 308, 900, 600, 145
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
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 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
GCD of numbers is the greatest common divisor
So, the GCD (308, 900, 600, 145) = 1.
Given numbers are 308, 900, 600, 145
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 145 are 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 308, 900, 600, 145
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 900) = 69300
GCD(308, 900) = ( 308 x 900 ) / 69300
= 308 / 900
= 308
Step2:
LCM(4, 600) = 600
GCD(4, 600) = ( 4 x 600 ) / 600
= 4 / 600
= 4
Step3:
LCM(4, 145) = 580
GCD(4, 145) = ( 4 x 145 ) / 580
= 4 / 145
= 4
So, Greatest Common Divisor of 308, 900, 600, 145 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 900, 600, 145
The greatest common divisor of numbers 308, 900, 600, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 900, 600, 145 is 1.
1. What is the GCD of 308, 900, 600, 145?
GCD of given numbers 308, 900, 600, 145 is 1
2. How to calculate the greatest common divisor of 308, 900, 600, 145?
We can find the highest common divisor of 308, 900, 600, 145 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 308, 900, 600, 145 i.e 1.
3. How can I use the GCD of 308, 900, 600, 145Calculator?
Out the numbers 308, 900, 600, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.