GCD of 284, 290, 364, 992 Calculator

Given Input numbers are 284, 290, 364, 992

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (284, 290, 364, 992) = 2.

Given numbers are 284, 290, 364, 992

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 290 are 2 x 5 x 29

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 284, 290, 364, 992 is 2.

Given numbers are 284, 290, 364, 992

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

Apply this formula for all numbers.

Step1:

LCM(284, 290) = 41180

GCD(284, 290) = ( 284 x 290 ) / 41180

= 284 / 290

= 284

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 284, 290, 364, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 973, 393, 814
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Given numbers are 284, 290, 364, 992
The greatest common divisor of numbers 284, 290, 364, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 290, 364, 992 is 2.

1. What is the GCD of 284, 290, 364, 992?

GCD of given numbers 284, 290, 364, 992 is 2

2. How to calculate the greatest common divisor of 284, 290, 364, 992?

We can find the highest common divisor of 284, 290, 364, 992 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 284, 290, 364, 992 i.e 2.

3. How can I use the GCD of 284, 290, 364, 992Calculator?

Out the numbers 284, 290, 364, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.