Online GCD Calculator is useful to find the GCD of 225, 100, 40, 267 quickly. Get the easiest ways to solve the greatest common divisor of 225, 100, 40, 267 i.e 1 in different methods as follows.
Given Input numbers are 225, 100, 40, 267
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 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 40 :
The positive integer divisors of 40 that completely divides 40 are.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
GCD of numbers is the greatest common divisor
So, the GCD (225, 100, 40, 267) = 1.
Given numbers are 225, 100, 40, 267
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 40 are 2 x 2 x 2 x 5
Prime factors of 267 are 3 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 225, 100, 40, 267
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 100) = 900
GCD(225, 100) = ( 225 x 100 ) / 900
= 225 / 100
= 225
Step2:
LCM(25, 40) = 200
GCD(25, 40) = ( 25 x 40 ) / 200
= 25 / 40
= 25
Step3:
LCM(5, 267) = 1335
GCD(5, 267) = ( 5 x 267 ) / 1335
= 5 / 267
= 5
So, Greatest Common Divisor of 225, 100, 40, 267 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 100, 40, 267
The greatest common divisor of numbers 225, 100, 40, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 100, 40, 267 is 1.
1. What is the GCD of 225, 100, 40, 267?
GCD of given numbers 225, 100, 40, 267 is 1
2. How to calculate the greatest common divisor of 225, 100, 40, 267?
We can find the highest common divisor of 225, 100, 40, 267 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, 100, 40, 267 i.e 1.
3. How can I use the GCD of 225, 100, 40, 267Calculator?
Out the numbers 225, 100, 40, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.