Online GCD Calculator is useful to find the GCD of 736, 124, 390, 458 quickly. Get the easiest ways to solve the greatest common divisor of 736, 124, 390, 458 i.e 2 in different methods as follows.
Given Input numbers are 736, 124, 390, 458
In the factoring method, we have to find the divisors of all numbers
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 458 :
The positive integer divisors of 458 that completely divides 458 are.
1, 2, 229, 458
GCD of numbers is the greatest common divisor
So, the GCD (736, 124, 390, 458) = 2.
Given numbers are 736, 124, 390, 458
The list of prime factors of all numbers are
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 124 are 2 x 2 x 31
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 458 are 2 x 229
The highest common occurrence is 21
Therefore, GCD of 736, 124, 390, 458 is 2.
Given numbers are 736, 124, 390, 458
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(736, 124) = 22816
GCD(736, 124) = ( 736 x 124 ) / 22816
= 736 / 124
= 736
Step2:
LCM(4, 390) = 780
GCD(4, 390) = ( 4 x 390 ) / 780
= 4 / 390
= 4
Step3:
LCM(2, 458) = 458
GCD(2, 458) = ( 2 x 458 ) / 458
= 2 / 458
= 2
So, Greatest Common Divisor of 736, 124, 390, 458 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 736, 124, 390, 458
The greatest common divisor of numbers 736, 124, 390, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 124, 390, 458 is 2.
1. What is the GCD of 736, 124, 390, 458?
GCD of given numbers 736, 124, 390, 458 is 2
2. How to calculate the greatest common divisor of 736, 124, 390, 458?
We can find the highest common divisor of 736, 124, 390, 458 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 736, 124, 390, 458 i.e 2.
3. How can I use the GCD of 736, 124, 390, 458Calculator?
Out the numbers 736, 124, 390, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.