Online GCD Calculator is useful to find the GCD of 441, 825, 357, 369 quickly. Get the easiest ways to solve the greatest common divisor of 441, 825, 357, 369 i.e 3 in different methods as follows.
Given Input numbers are 441, 825, 357, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
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 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (441, 825, 357, 369) = 3.
Given numbers are 441, 825, 357, 369
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 357 are 3 x 7 x 17
Prime factors of 369 are 3 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 441, 825, 357, 369 is 3.
Given numbers are 441, 825, 357, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 825) = 121275
GCD(441, 825) = ( 441 x 825 ) / 121275
= 441 / 825
= 441
Step2:
LCM(3, 357) = 357
GCD(3, 357) = ( 3 x 357 ) / 357
= 3 / 357
= 3
Step3:
LCM(3, 369) = 369
GCD(3, 369) = ( 3 x 369 ) / 369
= 3 / 369
= 3
So, Greatest Common Divisor of 441, 825, 357, 369 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 441, 825, 357, 369
The greatest common divisor of numbers 441, 825, 357, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 825, 357, 369 is 3.
1. What is the GCD of 441, 825, 357, 369?
GCD of given numbers 441, 825, 357, 369 is 3
2. How to calculate the greatest common divisor of 441, 825, 357, 369?
We can find the highest common divisor of 441, 825, 357, 369 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 441, 825, 357, 369 i.e 3.
3. How can I use the GCD of 441, 825, 357, 369Calculator?
Out the numbers 441, 825, 357, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.