Online GCD Calculator is useful to find the GCD of 225, 273, 350, 972 quickly. Get the easiest ways to solve the greatest common divisor of 225, 273, 350, 972 i.e 1 in different methods as follows.
Given Input numbers are 225, 273, 350, 972
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 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (225, 273, 350, 972) = 1.
Given numbers are 225, 273, 350, 972
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 273 are 3 x 7 x 13
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 225, 273, 350, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 273) = 20475
GCD(225, 273) = ( 225 x 273 ) / 20475
= 225 / 273
= 225
Step2:
LCM(3, 350) = 1050
GCD(3, 350) = ( 3 x 350 ) / 1050
= 3 / 350
= 3
Step3:
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
= 1 / 972
= 1
So, Greatest Common Divisor of 225, 273, 350, 972 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 273, 350, 972
The greatest common divisor of numbers 225, 273, 350, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 273, 350, 972 is 1.
1. What is the GCD of 225, 273, 350, 972?
GCD of given numbers 225, 273, 350, 972 is 1
2. How to calculate the greatest common divisor of 225, 273, 350, 972?
We can find the highest common divisor of 225, 273, 350, 972 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, 273, 350, 972 i.e 1.
3. How can I use the GCD of 225, 273, 350, 972Calculator?
Out the numbers 225, 273, 350, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.