Online GCD Calculator is useful to find the GCD of 310, 262, 46, 162 quickly. Get the easiest ways to solve the greatest common divisor of 310, 262, 46, 162 i.e 2 in different methods as follows.
Given Input numbers are 310, 262, 46, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
Divisors of 46 :
The positive integer divisors of 46 that completely divides 46 are.
1, 2, 23, 46
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (310, 262, 46, 162) = 2.
Given numbers are 310, 262, 46, 162
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 262 are 2 x 131
Prime factors of 46 are 2 x 23
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 310, 262, 46, 162 is 2.
Given numbers are 310, 262, 46, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 262) = 40610
GCD(310, 262) = ( 310 x 262 ) / 40610
= 310 / 262
= 310
Step2:
LCM(2, 46) = 46
GCD(2, 46) = ( 2 x 46 ) / 46
= 2 / 46
= 2
Step3:
LCM(2, 162) = 162
GCD(2, 162) = ( 2 x 162 ) / 162
= 2 / 162
= 2
So, Greatest Common Divisor of 310, 262, 46, 162 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 262, 46, 162
The greatest common divisor of numbers 310, 262, 46, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 262, 46, 162 is 2.
1. What is the GCD of 310, 262, 46, 162?
GCD of given numbers 310, 262, 46, 162 is 2
2. How to calculate the greatest common divisor of 310, 262, 46, 162?
We can find the highest common divisor of 310, 262, 46, 162 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 310, 262, 46, 162 i.e 2.
3. How can I use the GCD of 310, 262, 46, 162Calculator?
Out the numbers 310, 262, 46, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.