GCD of 821, 280, 392, 289 Calculator

Given Input numbers are 821, 280, 392, 289

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (821, 280, 392, 289) = 1.

Given numbers are 821, 280, 392, 289

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 289 are 17 x 17

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

Given numbers are 821, 280, 392, 289

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

Apply this formula for all numbers.

Step1:

LCM(821, 280) = 229880

GCD(821, 280) = ( 821 x 280 ) / 229880

= 821 / 280

= 821

Step2:

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

= 1 / 392

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 821, 280, 392, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 684, 479, 613
• GCD of 716, 339, 441, 532
• GCD of 898, 870, 508, 761
• GCD of 929, 947, 980, 263
• GCD of 302, 686, 111, 736

Given numbers are 821, 280, 392, 289
The greatest common divisor of numbers 821, 280, 392, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 280, 392, 289 is 1.

1. What is the GCD of 821, 280, 392, 289?

GCD of given numbers 821, 280, 392, 289 is 1

2. How to calculate the greatest common divisor of 821, 280, 392, 289?

We can find the highest common divisor of 821, 280, 392, 289 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, 280, 392, 289 i.e 1.

3. How can I use the GCD of 821, 280, 392, 289Calculator?

Out the numbers 821, 280, 392, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.