GCD of 904, 992, 488, 684 Calculator

Given Input numbers are 904, 992, 488, 684

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

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

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 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (904, 992, 488, 684) = 4.

Given numbers are 904, 992, 488, 684

The list of prime factors of all numbers are

Prime factors of 904 are 2 x 2 x 2 x 113

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

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2²

Therefore, GCD of 904, 992, 488, 684 is 4.

Given numbers are 904, 992, 488, 684

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

Apply this formula for all numbers.

Step1:

LCM(904, 992) = 112096

GCD(904, 992) = ( 904 x 992 ) / 112096

= 904 / 992

= 904

Step2:

LCM(8, 488) = 488

GCD(8, 488) = ( 8 x 488 ) / 488

= 8 / 488

= 8

Step3:

LCM(8, 684) = 1368

GCD(8, 684) = ( 8 x 684 ) / 1368

= 8 / 684

= 8

So, Greatest Common Divisor of 904, 992, 488, 684 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 223, 606, 179
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• GCD of 937, 165, 374, 809
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• GCD of 841, 994, 936, 405

Given numbers are 904, 992, 488, 684
The greatest common divisor of numbers 904, 992, 488, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 992, 488, 684 is 4.

1. What is the GCD of 904, 992, 488, 684?

GCD of given numbers 904, 992, 488, 684 is 4

2. How to calculate the greatest common divisor of 904, 992, 488, 684?

We can find the highest common divisor of 904, 992, 488, 684 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 904, 992, 488, 684 i.e 4.

3. How can I use the GCD of 904, 992, 488, 684Calculator?

Out the numbers 904, 992, 488, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.