GCD of 784, 138, 18, 488 Calculator

Given Input numbers are 784, 138, 18, 488

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

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 488 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (784, 138, 18, 488) = 2.

Given numbers are 784, 138, 18, 488

The list of prime factors of all numbers are

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

Prime factors of 138 are 2 x 3 x 23

Prime factors of 18 are 2 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 784, 138, 18, 488 is 2.

Given numbers are 784, 138, 18, 488

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

Apply this formula for all numbers.

Step1:

LCM(784, 138) = 54096

GCD(784, 138) = ( 784 x 138 ) / 54096

= 784 / 138

= 784

Step2:

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

= 2 / 18

= 2

Step3:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2

So, Greatest Common Divisor of 784, 138, 18, 488 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 631, 96, 571
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Given numbers are 784, 138, 18, 488
The greatest common divisor of numbers 784, 138, 18, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 138, 18, 488 is 2.

1. What is the GCD of 784, 138, 18, 488?

GCD of given numbers 784, 138, 18, 488 is 2

2. How to calculate the greatest common divisor of 784, 138, 18, 488?

We can find the highest common divisor of 784, 138, 18, 488 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 784, 138, 18, 488 i.e 2.

3. How can I use the GCD of 784, 138, 18, 488Calculator?

Out the numbers 784, 138, 18, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.