Online GCD Calculator is useful to find the GCD of 441, 693, 528, 108 quickly. Get the easiest ways to solve the greatest common divisor of 441, 693, 528, 108 i.e 3 in different methods as follows.
Given Input numbers are 441, 693, 528, 108
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 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (441, 693, 528, 108) = 3.
Given numbers are 441, 693, 528, 108
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 441, 693, 528, 108 is 3.
Given numbers are 441, 693, 528, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 693) = 4851
GCD(441, 693) = ( 441 x 693 ) / 4851
= 441 / 693
= 441
Step2:
LCM(63, 528) = 11088
GCD(63, 528) = ( 63 x 528 ) / 11088
= 63 / 528
= 63
Step3:
LCM(3, 108) = 108
GCD(3, 108) = ( 3 x 108 ) / 108
= 3 / 108
= 3
So, Greatest Common Divisor of 441, 693, 528, 108 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 441, 693, 528, 108
The greatest common divisor of numbers 441, 693, 528, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 693, 528, 108 is 3.
1. What is the GCD of 441, 693, 528, 108?
GCD of given numbers 441, 693, 528, 108 is 3
2. How to calculate the greatest common divisor of 441, 693, 528, 108?
We can find the highest common divisor of 441, 693, 528, 108 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, 693, 528, 108 i.e 3.
3. How can I use the GCD of 441, 693, 528, 108Calculator?
Out the numbers 441, 693, 528, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.