Online GCD Calculator is useful to find the GCD of 446, 672, 225, 149 quickly. Get the easiest ways to solve the greatest common divisor of 446, 672, 225, 149 i.e 1 in different methods as follows.
Given Input numbers are 446, 672, 225, 149
In the factoring method, we have to find the divisors of all numbers
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
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 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
GCD of numbers is the greatest common divisor
So, the GCD (446, 672, 225, 149) = 1.
Given numbers are 446, 672, 225, 149
The list of prime factors of all numbers are
Prime factors of 446 are 2 x 223
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 446, 672, 225, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(446, 672) = 149856
GCD(446, 672) = ( 446 x 672 ) / 149856
= 446 / 672
= 446
Step2:
LCM(2, 225) = 450
GCD(2, 225) = ( 2 x 225 ) / 450
= 2 / 225
= 2
Step3:
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
= 1 / 149
= 1
So, Greatest Common Divisor of 446, 672, 225, 149 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 446, 672, 225, 149
The greatest common divisor of numbers 446, 672, 225, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 672, 225, 149 is 1.
1. What is the GCD of 446, 672, 225, 149?
GCD of given numbers 446, 672, 225, 149 is 1
2. How to calculate the greatest common divisor of 446, 672, 225, 149?
We can find the highest common divisor of 446, 672, 225, 149 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 446, 672, 225, 149 i.e 1.
3. How can I use the GCD of 446, 672, 225, 149Calculator?
Out the numbers 446, 672, 225, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.