Online GCD Calculator is useful to find the GCD of 441, 378, 882, 726 quickly. Get the easiest ways to solve the greatest common divisor of 441, 378, 882, 726 i.e 3 in different methods as follows.
Given Input numbers are 441, 378, 882, 726
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
GCD of numbers is the greatest common divisor
So, the GCD (441, 378, 882, 726) = 3.
Given numbers are 441, 378, 882, 726
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 441, 378, 882, 726 is 3.
Given numbers are 441, 378, 882, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 378) = 2646
GCD(441, 378) = ( 441 x 378 ) / 2646
= 441 / 378
= 441
Step2:
LCM(63, 882) = 882
GCD(63, 882) = ( 63 x 882 ) / 882
= 63 / 882
= 63
Step3:
LCM(63, 726) = 15246
GCD(63, 726) = ( 63 x 726 ) / 15246
= 63 / 726
= 63
So, Greatest Common Divisor of 441, 378, 882, 726 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 441, 378, 882, 726
The greatest common divisor of numbers 441, 378, 882, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 378, 882, 726 is 3.
1. What is the GCD of 441, 378, 882, 726?
GCD of given numbers 441, 378, 882, 726 is 3
2. How to calculate the greatest common divisor of 441, 378, 882, 726?
We can find the highest common divisor of 441, 378, 882, 726 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, 378, 882, 726 i.e 3.
3. How can I use the GCD of 441, 378, 882, 726Calculator?
Out the numbers 441, 378, 882, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.