Online GCD Calculator is useful to find the GCD of 264, 725, 990 quickly. Get the easiest ways to solve the greatest common divisor of 264, 725, 990 i.e 1 in different methods as follows.
Given Input numbers are 264, 725, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (264, 725, 990) = 1.
Given numbers are 264, 725, 990
The list of prime factors of all numbers are
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 725 are 5 x 5 x 29
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 264, 725, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(264, 725) = 191400
GCD(264, 725) = ( 264 x 725 ) / 191400
= 264 / 725
= 264
Step2:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 264, 725, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 264, 725, 990
The greatest common divisor of numbers 264, 725, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 725, 990 is 1.
1. What is the GCD of 264, 725, 990?
GCD of given numbers 264, 725, 990 is 1
2. How to calculate the greatest common divisor of 264, 725, 990?
We can find the highest common divisor of 264, 725, 990 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 264, 725, 990 i.e 1.
3. How can I use the GCD of 264, 725, 990Calculator?
Out the numbers 264, 725, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.