GCD of 699, 723, 312, 351 Calculator

Given Input numbers are 699, 723, 312, 351

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

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (699, 723, 312, 351) = 3.

Given numbers are 699, 723, 312, 351

The list of prime factors of all numbers are

Prime factors of 699 are 3 x 233

Prime factors of 723 are 3 x 241

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 351 are 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 699, 723, 312, 351 is 3.

Given numbers are 699, 723, 312, 351

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

Apply this formula for all numbers.

Step1:

LCM(699, 723) = 168459

GCD(699, 723) = ( 699 x 723 ) / 168459

= 699 / 723

= 699

Step2:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

Step3:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

So, Greatest Common Divisor of 699, 723, 312, 351 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 360, 393, 838
• GCD of 580, 472, 886, 708
• GCD of 563, 687, 855, 232
• GCD of 779, 244, 671, 567
• GCD of 757, 612, 500, 579

Given numbers are 699, 723, 312, 351
The greatest common divisor of numbers 699, 723, 312, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 723, 312, 351 is 3.

1. What is the GCD of 699, 723, 312, 351?

GCD of given numbers 699, 723, 312, 351 is 3

2. How to calculate the greatest common divisor of 699, 723, 312, 351?

We can find the highest common divisor of 699, 723, 312, 351 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 699, 723, 312, 351 i.e 3.

3. How can I use the GCD of 699, 723, 312, 351Calculator?

Out the numbers 699, 723, 312, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.