Online GCD Calculator is useful to find the GCD of 912, 440, 342, 462 quickly. Get the easiest ways to solve the greatest common divisor of 912, 440, 342, 462 i.e 2 in different methods as follows.
Given Input numbers are 912, 440, 342, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
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
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (912, 440, 342, 462) = 2.
Given numbers are 912, 440, 342, 462
The list of prime factors of all numbers are
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 912, 440, 342, 462 is 2.
Given numbers are 912, 440, 342, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(912, 440) = 50160
GCD(912, 440) = ( 912 x 440 ) / 50160
= 912 / 440
= 912
Step2:
LCM(8, 342) = 1368
GCD(8, 342) = ( 8 x 342 ) / 1368
= 8 / 342
= 8
Step3:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
So, Greatest Common Divisor of 912, 440, 342, 462 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 912, 440, 342, 462
The greatest common divisor of numbers 912, 440, 342, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 440, 342, 462 is 2.
1. What is the GCD of 912, 440, 342, 462?
GCD of given numbers 912, 440, 342, 462 is 2
2. How to calculate the greatest common divisor of 912, 440, 342, 462?
We can find the highest common divisor of 912, 440, 342, 462 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 912, 440, 342, 462 i.e 2.
3. How can I use the GCD of 912, 440, 342, 462Calculator?
Out the numbers 912, 440, 342, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.