Online GCD Calculator is useful to find the GCD of 462, 310, 848, 342 quickly. Get the easiest ways to solve the greatest common divisor of 462, 310, 848, 342 i.e 2 in different methods as follows.
Given Input numbers are 462, 310, 848, 342
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
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 (462, 310, 848, 342) = 2.
Given numbers are 462, 310, 848, 342
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 310 are 2 x 5 x 31
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 462, 310, 848, 342 is 2.
Given numbers are 462, 310, 848, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 310) = 71610
GCD(462, 310) = ( 462 x 310 ) / 71610
= 462 / 310
= 462
Step2:
LCM(2, 848) = 848
GCD(2, 848) = ( 2 x 848 ) / 848
= 2 / 848
= 2
Step3:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 462, 310, 848, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 310, 848, 342
The greatest common divisor of numbers 462, 310, 848, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 310, 848, 342 is 2.
1. What is the GCD of 462, 310, 848, 342?
GCD of given numbers 462, 310, 848, 342 is 2
2. How to calculate the greatest common divisor of 462, 310, 848, 342?
We can find the highest common divisor of 462, 310, 848, 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 462, 310, 848, 342 i.e 2.
3. How can I use the GCD of 462, 310, 848, 342Calculator?
Out the numbers 462, 310, 848, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.