Online GCD Calculator is useful to find the GCD of 873, 825, 447, 141 quickly. Get the easiest ways to solve the greatest common divisor of 873, 825, 447, 141 i.e 3 in different methods as follows.
Given Input numbers are 873, 825, 447, 141
In the factoring method, we have to find the divisors of all numbers
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 447 :
The positive integer divisors of 447 that completely divides 447 are.
1, 3, 149, 447
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
GCD of numbers is the greatest common divisor
So, the GCD (873, 825, 447, 141) = 3.
Given numbers are 873, 825, 447, 141
The list of prime factors of all numbers are
Prime factors of 873 are 3 x 3 x 97
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 447 are 3 x 149
Prime factors of 141 are 3 x 47
The highest common occurrence is 31
Therefore, GCD of 873, 825, 447, 141 is 3.
Given numbers are 873, 825, 447, 141
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(873, 825) = 240075
GCD(873, 825) = ( 873 x 825 ) / 240075
= 873 / 825
= 873
Step2:
LCM(3, 447) = 447
GCD(3, 447) = ( 3 x 447 ) / 447
= 3 / 447
= 3
Step3:
LCM(3, 141) = 141
GCD(3, 141) = ( 3 x 141 ) / 141
= 3 / 141
= 3
So, Greatest Common Divisor of 873, 825, 447, 141 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 873, 825, 447, 141
The greatest common divisor of numbers 873, 825, 447, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 825, 447, 141 is 3.
1. What is the GCD of 873, 825, 447, 141?
GCD of given numbers 873, 825, 447, 141 is 3
2. How to calculate the greatest common divisor of 873, 825, 447, 141?
We can find the highest common divisor of 873, 825, 447, 141 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 873, 825, 447, 141 i.e 3.
3. How can I use the GCD of 873, 825, 447, 141Calculator?
Out the numbers 873, 825, 447, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.