GCD of 704, 314, 39, 861 Calculator

Given Input numbers are 704, 314, 39, 861

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

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 39 :

The positive integer divisors of 39 that completely divides 39 are.

1, 3, 13, 39

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

GCD of numbers is the greatest common divisor

So, the GCD (704, 314, 39, 861) = 1.

Given numbers are 704, 314, 39, 861

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 314 are 2 x 157

Prime factors of 39 are 3 x 13

Prime factors of 861 are 3 x 7 x 41

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

Given numbers are 704, 314, 39, 861

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

Apply this formula for all numbers.

Step1:

LCM(704, 314) = 110528

GCD(704, 314) = ( 704 x 314 ) / 110528

= 704 / 314

= 704

Step2:

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

= 2 / 39

= 2

Step3:

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

= 1 / 861

= 1

So, Greatest Common Divisor of 704, 314, 39, 861 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 644, 63, 548
• GCD of 538, 397, 45, 954
• GCD of 797, 697, 91, 608
• GCD of 821, 117, 90, 998
• GCD of 451, 247, 13, 138

Given numbers are 704, 314, 39, 861
The greatest common divisor of numbers 704, 314, 39, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 314, 39, 861 is 1.

1. What is the GCD of 704, 314, 39, 861?

GCD of given numbers 704, 314, 39, 861 is 1

2. How to calculate the greatest common divisor of 704, 314, 39, 861?

We can find the highest common divisor of 704, 314, 39, 861 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 704, 314, 39, 861 i.e 1.

3. How can I use the GCD of 704, 314, 39, 861Calculator?

Out the numbers 704, 314, 39, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.