GCD of 723, 696, 698, 704 Calculator

Given Input numbers are 723, 696, 698, 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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

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, 696, 698, 704) = 1.

Given numbers are 723, 696, 698, 704

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 698 are 2 x 349

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

Given numbers are 723, 696, 698, 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, 696) = 167736

GCD(723, 696) = ( 723 x 696 ) / 167736

= 723 / 696

= 723

Step2:

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

= 3 / 698

= 3

Step3:

LCM(1, 704) = 704

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

= 1 / 704

= 1

So, Greatest Common Divisor of 723, 696, 698, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 936, 416, 404
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• GCD of 653, 542, 835, 684

Given numbers are 723, 696, 698, 704
The greatest common divisor of numbers 723, 696, 698, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 696, 698, 704 is 1.

1. What is the GCD of 723, 696, 698, 704?

GCD of given numbers 723, 696, 698, 704 is 1

2. How to calculate the greatest common divisor of 723, 696, 698, 704?

We can find the highest common divisor of 723, 696, 698, 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, 696, 698, 704 i.e 1.

3. How can I use the GCD of 723, 696, 698, 704Calculator?

Out the numbers 723, 696, 698, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.