GCD of 699, 975, 831, 399 Calculator

Given Input numbers are 699, 975, 831, 399

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

GCD of numbers is the greatest common divisor

So, the GCD (699, 975, 831, 399) = 3.

Given numbers are 699, 975, 831, 399

The list of prime factors of all numbers are

Prime factors of 699 are 3 x 233

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 831 are 3 x 277

Prime factors of 399 are 3 x 7 x 19

The highest common occurrence is 3¹

Therefore, GCD of 699, 975, 831, 399 is 3.

Given numbers are 699, 975, 831, 399

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

Apply this formula for all numbers.

Step1:

LCM(699, 975) = 227175

GCD(699, 975) = ( 699 x 975 ) / 227175

= 699 / 975

= 699

Step2:

LCM(3, 831) = 831

GCD(3, 831) = ( 3 x 831 ) / 831

= 3 / 831

= 3

Step3:

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

= 3 / 399

= 3

So, Greatest Common Divisor of 699, 975, 831, 399 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 732, 307, 636
• GCD of 729, 947, 660, 813
• GCD of 321, 336, 855, 820
• GCD of 473, 217, 522, 116
• GCD of 314, 682, 256, 892

Given numbers are 699, 975, 831, 399
The greatest common divisor of numbers 699, 975, 831, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 975, 831, 399 is 3.

1. What is the GCD of 699, 975, 831, 399?

GCD of given numbers 699, 975, 831, 399 is 3

2. How to calculate the greatest common divisor of 699, 975, 831, 399?

We can find the highest common divisor of 699, 975, 831, 399 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, 975, 831, 399 i.e 3.

3. How can I use the GCD of 699, 975, 831, 399Calculator?

Out the numbers 699, 975, 831, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.