Online GCD Calculator is useful to find the GCD of 124, 310, 468, 298 quickly. Get the easiest ways to solve the greatest common divisor of 124, 310, 468, 298 i.e 2 in different methods as follows.
Given Input numbers are 124, 310, 468, 298
In the factoring method, we have to find the divisors of all numbers
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
GCD of numbers is the greatest common divisor
So, the GCD (124, 310, 468, 298) = 2.
Given numbers are 124, 310, 468, 298
The list of prime factors of all numbers are
Prime factors of 124 are 2 x 2 x 31
Prime factors of 310 are 2 x 5 x 31
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 298 are 2 x 149
The highest common occurrence is 21
Therefore, GCD of 124, 310, 468, 298 is 2.
Given numbers are 124, 310, 468, 298
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(124, 310) = 620
GCD(124, 310) = ( 124 x 310 ) / 620
= 124 / 310
= 124
Step2:
LCM(62, 468) = 14508
GCD(62, 468) = ( 62 x 468 ) / 14508
= 62 / 468
= 62
Step3:
LCM(2, 298) = 298
GCD(2, 298) = ( 2 x 298 ) / 298
= 2 / 298
= 2
So, Greatest Common Divisor of 124, 310, 468, 298 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 124, 310, 468, 298
The greatest common divisor of numbers 124, 310, 468, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 310, 468, 298 is 2.
1. What is the GCD of 124, 310, 468, 298?
GCD of given numbers 124, 310, 468, 298 is 2
2. How to calculate the greatest common divisor of 124, 310, 468, 298?
We can find the highest common divisor of 124, 310, 468, 298 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 124, 310, 468, 298 i.e 2.
3. How can I use the GCD of 124, 310, 468, 298Calculator?
Out the numbers 124, 310, 468, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.