GCD of 992, 508, 672, 284 Calculator

Given Input numbers are 992, 508, 672, 284

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

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 284 :

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

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (992, 508, 672, 284) = 4.

Given numbers are 992, 508, 672, 284

The list of prime factors of all numbers are

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 2²

Therefore, GCD of 992, 508, 672, 284 is 4.

Given numbers are 992, 508, 672, 284

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

Apply this formula for all numbers.

Step1:

LCM(992, 508) = 125984

GCD(992, 508) = ( 992 x 508 ) / 125984

= 992 / 508

= 992

Step2:

LCM(4, 672) = 672

GCD(4, 672) = ( 4 x 672 ) / 672

= 4 / 672

= 4

Step3:

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

= 4 / 284

= 4

So, Greatest Common Divisor of 992, 508, 672, 284 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 282, 390, 545
• GCD of 511, 725, 980, 702
• GCD of 267, 994, 457, 333
• GCD of 365, 158, 391, 869
• GCD of 104, 474, 869, 811

Given numbers are 992, 508, 672, 284
The greatest common divisor of numbers 992, 508, 672, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 508, 672, 284 is 4.

1. What is the GCD of 992, 508, 672, 284?

GCD of given numbers 992, 508, 672, 284 is 4

2. How to calculate the greatest common divisor of 992, 508, 672, 284?

We can find the highest common divisor of 992, 508, 672, 284 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 992, 508, 672, 284 i.e 4.

3. How can I use the GCD of 992, 508, 672, 284Calculator?

Out the numbers 992, 508, 672, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.