Online GCD Calculator is useful to find the GCD of 447, 450, 846, 438 quickly. Get the easiest ways to solve the greatest common divisor of 447, 450, 846, 438 i.e 3 in different methods as follows.
Given Input numbers are 447, 450, 846, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 447 :
The positive integer divisors of 447 that completely divides 447 are.
1, 3, 149, 447
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (447, 450, 846, 438) = 3.
Given numbers are 447, 450, 846, 438
The list of prime factors of all numbers are
Prime factors of 447 are 3 x 149
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 31
Therefore, GCD of 447, 450, 846, 438 is 3.
Given numbers are 447, 450, 846, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(447, 450) = 67050
GCD(447, 450) = ( 447 x 450 ) / 67050
= 447 / 450
= 447
Step2:
LCM(3, 846) = 846
GCD(3, 846) = ( 3 x 846 ) / 846
= 3 / 846
= 3
Step3:
LCM(3, 438) = 438
GCD(3, 438) = ( 3 x 438 ) / 438
= 3 / 438
= 3
So, Greatest Common Divisor of 447, 450, 846, 438 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 447, 450, 846, 438
The greatest common divisor of numbers 447, 450, 846, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 447, 450, 846, 438 is 3.
1. What is the GCD of 447, 450, 846, 438?
GCD of given numbers 447, 450, 846, 438 is 3
2. How to calculate the greatest common divisor of 447, 450, 846, 438?
We can find the highest common divisor of 447, 450, 846, 438 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 447, 450, 846, 438 i.e 3.
3. How can I use the GCD of 447, 450, 846, 438Calculator?
Out the numbers 447, 450, 846, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.