GCD of 823, 319, 842, 704 Calculator

Given Input numbers are 823, 319, 842, 704

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

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

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 (823, 319, 842, 704) = 1.

Given numbers are 823, 319, 842, 704

The list of prime factors of all numbers are

Prime factors of 823 are 823

Prime factors of 319 are 11 x 29

Prime factors of 842 are 2 x 421

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 823, 319, 842, 704

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

Apply this formula for all numbers.

Step1:

LCM(823, 319) = 262537

GCD(823, 319) = ( 823 x 319 ) / 262537

= 823 / 319

= 823

Step2:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1

Step3:

LCM(1, 704) = 704

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

= 1 / 704

= 1

So, Greatest Common Divisor of 823, 319, 842, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 289, 122, 648
• GCD of 437, 377, 720, 781
• GCD of 241, 554, 484, 943
• GCD of 918, 345, 268, 528
• GCD of 222, 715, 101, 178

Given numbers are 823, 319, 842, 704
The greatest common divisor of numbers 823, 319, 842, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 319, 842, 704 is 1.

1. What is the GCD of 823, 319, 842, 704?

GCD of given numbers 823, 319, 842, 704 is 1

2. How to calculate the greatest common divisor of 823, 319, 842, 704?

We can find the highest common divisor of 823, 319, 842, 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 823, 319, 842, 704 i.e 1.

3. How can I use the GCD of 823, 319, 842, 704Calculator?

Out the numbers 823, 319, 842, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.