Online GCD Calculator is useful to find the GCD of 124, 500, 112 quickly. Get the easiest ways to solve the greatest common divisor of 124, 500, 112 i.e 4 in different methods as follows.
Given Input numbers are 124, 500, 112
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 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (124, 500, 112) = 4.
Given numbers are 124, 500, 112
The list of prime factors of all numbers are
Prime factors of 124 are 2 x 2 x 31
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 22
Therefore, GCD of 124, 500, 112 is 4.
Given numbers are 124, 500, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(124, 500) = 15500
GCD(124, 500) = ( 124 x 500 ) / 15500
= 124 / 500
= 124
Step2:
LCM(4, 112) = 112
GCD(4, 112) = ( 4 x 112 ) / 112
= 4 / 112
= 4
So, Greatest Common Divisor of 124, 500, 112 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 124, 500, 112
The greatest common divisor of numbers 124, 500, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 500, 112 is 4.
1. What is the GCD of 124, 500, 112?
GCD of given numbers 124, 500, 112 is 4
2. How to calculate the greatest common divisor of 124, 500, 112?
We can find the highest common divisor of 124, 500, 112 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, 500, 112 i.e 4.
3. How can I use the GCD of 124, 500, 112Calculator?
Out the numbers 124, 500, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.