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GCD of 723, 848, 200, 704 Calculator

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


Online GCD Calculator is useful to find the GCD of 723, 848, 200, 704 quickly. Get the easiest ways to solve the greatest common divisor of 723, 848, 200, 704 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 723, 848, 200, 704 with Factoring?

Given Input numbers are 723, 848, 200, 704

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

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704


GCD of numbers is the greatest common divisor

So, the GCD (723, 848, 200, 704) = 1.

Find GCD of 723, 848, 200, 704 using Prime Factorization

Given numbers are 723, 848, 200, 704

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Steps to Calculate GCD of 723, 848, 200, 704 using LCM Formula

Given numbers are 723, 848, 200, 704

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

Apply this formula for all numbers.

Step1:

LCM(723, 848) = 613104

GCD(723, 848) = ( 723 x 848 ) / 613104

= 723 / 848

= 723


Step2:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1


Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1


So, Greatest Common Divisor of 723, 848, 200, 704 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 723, 848, 200, 704

Given numbers are 723, 848, 200, 704
The greatest common divisor of numbers 723, 848, 200, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 848, 200, 704 is 1.

FAQs on GCD of 723, 848, 200, 704 Calculator

1. What is the GCD of 723, 848, 200, 704?

GCD of given numbers 723, 848, 200, 704 is 1


2. How to calculate the greatest common divisor of 723, 848, 200, 704?

We can find the highest common divisor of 723, 848, 200, 704 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 723, 848, 200, 704 i.e 1.


3. How can I use the GCD of 723, 848, 200, 704Calculator?

Out the numbers 723, 848, 200, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.