GCD of 821, 728, 686, 319 Calculator

Given Input numbers are 821, 728, 686, 319

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 319 :

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

1, 11, 29, 319

GCD of numbers is the greatest common divisor

So, the GCD (821, 728, 686, 319) = 1.

Given numbers are 821, 728, 686, 319

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 319 are 11 x 29

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

Given numbers are 821, 728, 686, 319

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

Apply this formula for all numbers.

Step1:

LCM(821, 728) = 597688

GCD(821, 728) = ( 821 x 728 ) / 597688

= 821 / 728

= 821

Step2:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1

Step3:

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

= 1 / 319

= 1

So, Greatest Common Divisor of 821, 728, 686, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 332, 710, 901
• GCD of 865, 267, 702, 869
• GCD of 221, 365, 657, 846
• GCD of 719, 461, 678, 371
• GCD of 554, 100, 106, 372

Given numbers are 821, 728, 686, 319
The greatest common divisor of numbers 821, 728, 686, 319 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 728, 686, 319 is 1.

1. What is the GCD of 821, 728, 686, 319?

GCD of given numbers 821, 728, 686, 319 is 1

2. How to calculate the greatest common divisor of 821, 728, 686, 319?

We can find the highest common divisor of 821, 728, 686, 319 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 821, 728, 686, 319 i.e 1.

3. How can I use the GCD of 821, 728, 686, 319Calculator?

Out the numbers 821, 728, 686, 319 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.