GCD of 312, 424, 682, 869 Calculator

Given Input numbers are 312, 424, 682, 869

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

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 424 :

The positive integer divisors of 424 that completely divides 424 are.

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

GCD of numbers is the greatest common divisor

So, the GCD (312, 424, 682, 869) = 1.

Given numbers are 312, 424, 682, 869

The list of prime factors of all numbers are

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

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 682 are 2 x 11 x 31

Prime factors of 869 are 11 x 79

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

Given numbers are 312, 424, 682, 869

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

Apply this formula for all numbers.

Step1:

LCM(312, 424) = 16536

GCD(312, 424) = ( 312 x 424 ) / 16536

= 312 / 424

= 312

Step2:

LCM(8, 682) = 2728

GCD(8, 682) = ( 8 x 682 ) / 2728

= 8 / 682

= 8

Step3:

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

= 2 / 869

= 2

So, Greatest Common Divisor of 312, 424, 682, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 294, 772, 641
• GCD of 863, 720, 326, 533
• GCD of 156, 598, 839, 184
• GCD of 330, 581, 664, 928
• GCD of 522, 648, 108, 236

Given numbers are 312, 424, 682, 869
The greatest common divisor of numbers 312, 424, 682, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 424, 682, 869 is 1.

1. What is the GCD of 312, 424, 682, 869?

GCD of given numbers 312, 424, 682, 869 is 1

2. How to calculate the greatest common divisor of 312, 424, 682, 869?

We can find the highest common divisor of 312, 424, 682, 869 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 312, 424, 682, 869 i.e 1.

3. How can I use the GCD of 312, 424, 682, 869Calculator?

Out the numbers 312, 424, 682, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.