Online GCD Calculator is useful to find the GCD of 124, 144, 350, 548 quickly. Get the easiest ways to solve the greatest common divisor of 124, 144, 350, 548 i.e 2 in different methods as follows.
Given Input numbers are 124, 144, 350, 548
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 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (124, 144, 350, 548) = 2.
Given numbers are 124, 144, 350, 548
The list of prime factors of all numbers are
Prime factors of 124 are 2 x 2 x 31
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 548 are 2 x 2 x 137
The highest common occurrence is 21
Therefore, GCD of 124, 144, 350, 548 is 2.
Given numbers are 124, 144, 350, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(124, 144) = 4464
GCD(124, 144) = ( 124 x 144 ) / 4464
= 124 / 144
= 124
Step2:
LCM(4, 350) = 700
GCD(4, 350) = ( 4 x 350 ) / 700
= 4 / 350
= 4
Step3:
LCM(2, 548) = 548
GCD(2, 548) = ( 2 x 548 ) / 548
= 2 / 548
= 2
So, Greatest Common Divisor of 124, 144, 350, 548 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 124, 144, 350, 548
The greatest common divisor of numbers 124, 144, 350, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 144, 350, 548 is 2.
1. What is the GCD of 124, 144, 350, 548?
GCD of given numbers 124, 144, 350, 548 is 2
2. How to calculate the greatest common divisor of 124, 144, 350, 548?
We can find the highest common divisor of 124, 144, 350, 548 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, 144, 350, 548 i.e 2.
3. How can I use the GCD of 124, 144, 350, 548Calculator?
Out the numbers 124, 144, 350, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.