GCD of 312, 871, 44, 704 Calculator

Given Input numbers are 312, 871, 44, 704

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 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 44 :

The positive integer divisors of 44 that completely divides 44 are.

1, 2, 4, 11, 22, 44

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 (312, 871, 44, 704) = 1.

Given numbers are 312, 871, 44, 704

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 871 are 13 x 67

Prime factors of 44 are 2 x 2 x 11

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 312, 871, 44, 704

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

Apply this formula for all numbers.

Step1:

LCM(312, 871) = 20904

GCD(312, 871) = ( 312 x 871 ) / 20904

= 312 / 871

= 312

Step2:

LCM(13, 44) = 572

GCD(13, 44) = ( 13 x 44 ) / 572

= 13 / 44

= 13

Step3:

LCM(1, 704) = 704

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

= 1 / 704

= 1

So, Greatest Common Divisor of 312, 871, 44, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 106, 10, 472
• GCD of 595, 703, 44, 618
• GCD of 422, 355, 74, 238
• GCD of 849, 309, 39, 975
• GCD of 961, 153, 42, 171

Given numbers are 312, 871, 44, 704
The greatest common divisor of numbers 312, 871, 44, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 871, 44, 704 is 1.

1. What is the GCD of 312, 871, 44, 704?

GCD of given numbers 312, 871, 44, 704 is 1

2. How to calculate the greatest common divisor of 312, 871, 44, 704?

We can find the highest common divisor of 312, 871, 44, 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 312, 871, 44, 704 i.e 1.

3. How can I use the GCD of 312, 871, 44, 704Calculator?

Out the numbers 312, 871, 44, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.