Online GCD Calculator is useful to find the GCD of 124, 496, 120, 322 quickly. Get the easiest ways to solve the greatest common divisor of 124, 496, 120, 322 i.e 2 in different methods as follows.
Given Input numbers are 124, 496, 120, 322
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 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (124, 496, 120, 322) = 2.
Given numbers are 124, 496, 120, 322
The list of prime factors of all numbers are
Prime factors of 124 are 2 x 2 x 31
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 322 are 2 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 124, 496, 120, 322 is 2.
Given numbers are 124, 496, 120, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(124, 496) = 496
GCD(124, 496) = ( 124 x 496 ) / 496
= 124 / 496
= 124
Step2:
LCM(124, 120) = 3720
GCD(124, 120) = ( 124 x 120 ) / 3720
= 124 / 120
= 124
Step3:
LCM(4, 322) = 644
GCD(4, 322) = ( 4 x 322 ) / 644
= 4 / 322
= 4
So, Greatest Common Divisor of 124, 496, 120, 322 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 124, 496, 120, 322
The greatest common divisor of numbers 124, 496, 120, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 496, 120, 322 is 2.
1. What is the GCD of 124, 496, 120, 322?
GCD of given numbers 124, 496, 120, 322 is 2
2. How to calculate the greatest common divisor of 124, 496, 120, 322?
We can find the highest common divisor of 124, 496, 120, 322 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, 496, 120, 322 i.e 2.
3. How can I use the GCD of 124, 496, 120, 322Calculator?
Out the numbers 124, 496, 120, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.