LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 736, 124, 390, 458 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

GCD of

How to Find GCD of Numbers 736, 124, 390, 458 with Factoring?

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.

Find GCD of 736, 124, 390, 458 using Prime Factorization

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.

Steps to Calculate GCD of 736, 124, 390, 458 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 736, 124, 390, 458

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.

FAQs on GCD of 736, 124, 390, 458 Calculator

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.