Online GCD Calculator is useful to find the GCD of 225, 135, 784, 145 quickly. Get the easiest ways to solve the greatest common divisor of 225, 135, 784, 145 i.e 1 in different methods as follows.
Given Input numbers are 225, 135, 784, 145
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
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 (225, 135, 784, 145) = 1.
Given numbers are 225, 135, 784, 145
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
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 225, 135, 784, 145
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 135) = 675
GCD(225, 135) = ( 225 x 135 ) / 675
= 225 / 135
= 225
Step2:
LCM(45, 784) = 35280
GCD(45, 784) = ( 45 x 784 ) / 35280
= 45 / 784
= 45
Step3:
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
= 1 / 145
= 1
So, Greatest Common Divisor of 225, 135, 784, 145 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 135, 784, 145
The greatest common divisor of numbers 225, 135, 784, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 135, 784, 145 is 1.
1. What is the GCD of 225, 135, 784, 145?
GCD of given numbers 225, 135, 784, 145 is 1
2. How to calculate the greatest common divisor of 225, 135, 784, 145?
We can find the highest common divisor of 225, 135, 784, 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 225, 135, 784, 145 i.e 1.
3. How can I use the GCD of 225, 135, 784, 145Calculator?
Out the numbers 225, 135, 784, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.