Online GCD Calculator is useful to find the GCD of 441, 696, 342 quickly. Get the easiest ways to solve the greatest common divisor of 441, 696, 342 i.e 3 in different methods as follows.
Given Input numbers are 441, 696, 342
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 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (441, 696, 342) = 3.
Given numbers are 441, 696, 342
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 441, 696, 342 is 3.
Given numbers are 441, 696, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 696) = 102312
GCD(441, 696) = ( 441 x 696 ) / 102312
= 441 / 696
= 441
Step2:
LCM(3, 342) = 342
GCD(3, 342) = ( 3 x 342 ) / 342
= 3 / 342
= 3
So, Greatest Common Divisor of 441, 696, 342 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 441, 696, 342
The greatest common divisor of numbers 441, 696, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 696, 342 is 3.
1. What is the GCD of 441, 696, 342?
GCD of given numbers 441, 696, 342 is 3
2. How to calculate the greatest common divisor of 441, 696, 342?
We can find the highest common divisor of 441, 696, 342 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, 696, 342 i.e 3.
3. How can I use the GCD of 441, 696, 342Calculator?
Out the numbers 441, 696, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.