Online GCD Calculator is useful to find the GCD of 149, 660, 289, 225 quickly. Get the easiest ways to solve the greatest common divisor of 149, 660, 289, 225 i.e 1 in different methods as follows.
Given Input numbers are 149, 660, 289, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (149, 660, 289, 225) = 1.
Given numbers are 149, 660, 289, 225
The list of prime factors of all numbers are
Prime factors of 149 are 149
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 289 are 17 x 17
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 149, 660, 289, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(149, 660) = 98340
GCD(149, 660) = ( 149 x 660 ) / 98340
= 149 / 660
= 149
Step2:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
Step3:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 149, 660, 289, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 149, 660, 289, 225
The greatest common divisor of numbers 149, 660, 289, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 660, 289, 225 is 1.
1. What is the GCD of 149, 660, 289, 225?
GCD of given numbers 149, 660, 289, 225 is 1
2. How to calculate the greatest common divisor of 149, 660, 289, 225?
We can find the highest common divisor of 149, 660, 289, 225 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 149, 660, 289, 225 i.e 1.
3. How can I use the GCD of 149, 660, 289, 225Calculator?
Out the numbers 149, 660, 289, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.