GCD of 699, 939, 42, 312 Calculator

Given Input numbers are 699, 939, 42, 312

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 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

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

GCD of numbers is the greatest common divisor

So, the GCD (699, 939, 42, 312) = 3.

Given numbers are 699, 939, 42, 312

The list of prime factors of all numbers are

Prime factors of 699 are 3 x 233

Prime factors of 939 are 3 x 313

Prime factors of 42 are 2 x 3 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 699, 939, 42, 312 is 3.

Given numbers are 699, 939, 42, 312

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

Apply this formula for all numbers.

Step1:

LCM(699, 939) = 218787

GCD(699, 939) = ( 699 x 939 ) / 218787

= 699 / 939

= 699

Step2:

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

= 3 / 42

= 3

Step3:

LCM(3, 312) = 312

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

= 3 / 312

= 3

So, Greatest Common Divisor of 699, 939, 42, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 439, 32, 525
• GCD of 684, 253, 71, 975
• GCD of 861, 310, 33, 961
• GCD of 463, 825, 74, 432
• GCD of 293, 532, 75, 754

Given numbers are 699, 939, 42, 312
The greatest common divisor of numbers 699, 939, 42, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 939, 42, 312 is 3.

1. What is the GCD of 699, 939, 42, 312?

GCD of given numbers 699, 939, 42, 312 is 3

2. How to calculate the greatest common divisor of 699, 939, 42, 312?

We can find the highest common divisor of 699, 939, 42, 312 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, 939, 42, 312 i.e 3.

3. How can I use the GCD of 699, 939, 42, 312Calculator?

Out the numbers 699, 939, 42, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.