GCD of 924, 784, 289, 989 Calculator

Given Input numbers are 924, 784, 289, 989

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 289 :

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

1, 17, 289

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (924, 784, 289, 989) = 1.

Given numbers are 924, 784, 289, 989

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 289 are 17 x 17

Prime factors of 989 are 23 x 43

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

Given numbers are 924, 784, 289, 989

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

Apply this formula for all numbers.

Step1:

LCM(924, 784) = 25872

GCD(924, 784) = ( 924 x 784 ) / 25872

= 924 / 784

= 924

Step2:

LCM(28, 289) = 8092

GCD(28, 289) = ( 28 x 289 ) / 8092

= 28 / 289

= 28

Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

So, Greatest Common Divisor of 924, 784, 289, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 609, 332, 386, 659
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• GCD of 118, 372, 265, 592

Given numbers are 924, 784, 289, 989
The greatest common divisor of numbers 924, 784, 289, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 784, 289, 989 is 1.

1. What is the GCD of 924, 784, 289, 989?

GCD of given numbers 924, 784, 289, 989 is 1

2. How to calculate the greatest common divisor of 924, 784, 289, 989?

We can find the highest common divisor of 924, 784, 289, 989 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 924, 784, 289, 989 i.e 1.

3. How can I use the GCD of 924, 784, 289, 989Calculator?

Out the numbers 924, 784, 289, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.