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GCD of 616, 390, 550, 723 Calculator

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


Online GCD Calculator is useful to find the GCD of 616, 390, 550, 723 quickly. Get the easiest ways to solve the greatest common divisor of 616, 390, 550, 723 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 616, 390, 550, 723 with Factoring?

Given Input numbers are 616, 390, 550, 723

In the factoring method, we have to find the divisors of all numbers

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723


GCD of numbers is the greatest common divisor

So, the GCD (616, 390, 550, 723) = 1.

Find GCD of 616, 390, 550, 723 using Prime Factorization

Given numbers are 616, 390, 550, 723

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 723 are 3 x 241

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 616, 390, 550, 723 using LCM Formula

Given numbers are 616, 390, 550, 723

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(616, 390) = 120120

GCD(616, 390) = ( 616 x 390 ) / 120120

= 616 / 390

= 616


Step2:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2


Step3:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2


So, Greatest Common Divisor of 616, 390, 550, 723 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 616, 390, 550, 723

Given numbers are 616, 390, 550, 723
The greatest common divisor of numbers 616, 390, 550, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 390, 550, 723 is 1.

FAQs on GCD of 616, 390, 550, 723 Calculator

1. What is the GCD of 616, 390, 550, 723?

GCD of given numbers 616, 390, 550, 723 is 1


2. How to calculate the greatest common divisor of 616, 390, 550, 723?

We can find the highest common divisor of 616, 390, 550, 723 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 616, 390, 550, 723 i.e 1.


3. How can I use the GCD of 616, 390, 550, 723Calculator?

Out the numbers 616, 390, 550, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.