Online GCD Calculator is useful to find the GCD of 225, 445, 650, 280 quickly. Get the easiest ways to solve the greatest common divisor of 225, 445, 650, 280 i.e 5 in different methods as follows.
Given Input numbers are 225, 445, 650, 280
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 445 :
The positive integer divisors of 445 that completely divides 445 are.
1, 5, 89, 445
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
GCD of numbers is the greatest common divisor
So, the GCD (225, 445, 650, 280) = 5.
Given numbers are 225, 445, 650, 280
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 445 are 5 x 89
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 225, 445, 650, 280 is 5.
Given numbers are 225, 445, 650, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 445) = 20025
GCD(225, 445) = ( 225 x 445 ) / 20025
= 225 / 445
= 225
Step2:
LCM(5, 650) = 650
GCD(5, 650) = ( 5 x 650 ) / 650
= 5 / 650
= 5
Step3:
LCM(5, 280) = 280
GCD(5, 280) = ( 5 x 280 ) / 280
= 5 / 280
= 5
So, Greatest Common Divisor of 225, 445, 650, 280 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 445, 650, 280
The greatest common divisor of numbers 225, 445, 650, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 445, 650, 280 is 5.
1. What is the GCD of 225, 445, 650, 280?
GCD of given numbers 225, 445, 650, 280 is 5
2. How to calculate the greatest common divisor of 225, 445, 650, 280?
We can find the highest common divisor of 225, 445, 650, 280 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, 445, 650, 280 i.e 5.
3. How can I use the GCD of 225, 445, 650, 280Calculator?
Out the numbers 225, 445, 650, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.