Online GCD Calculator is useful to find the GCD of 745, 308, 408, 900 quickly. Get the easiest ways to solve the greatest common divisor of 745, 308, 408, 900 i.e 1 in different methods as follows.
Given Input numbers are 745, 308, 408, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
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 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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
GCD of numbers is the greatest common divisor
So, the GCD (745, 308, 408, 900) = 1.
Given numbers are 745, 308, 408, 900
The list of prime factors of all numbers are
Prime factors of 745 are 5 x 149
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 745, 308, 408, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(745, 308) = 229460
GCD(745, 308) = ( 745 x 308 ) / 229460
= 745 / 308
= 745
Step2:
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
= 1 / 408
= 1
Step3:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 745, 308, 408, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 745, 308, 408, 900
The greatest common divisor of numbers 745, 308, 408, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 745, 308, 408, 900 is 1.
1. What is the GCD of 745, 308, 408, 900?
GCD of given numbers 745, 308, 408, 900 is 1
2. How to calculate the greatest common divisor of 745, 308, 408, 900?
We can find the highest common divisor of 745, 308, 408, 900 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 745, 308, 408, 900 i.e 1.
3. How can I use the GCD of 745, 308, 408, 900Calculator?
Out the numbers 745, 308, 408, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.