GCD of 138, 998, 476, 494 Calculator

Given Input numbers are 138, 998, 476, 494

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

Divisors of 138 :

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

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (138, 998, 476, 494) = 2.

Given numbers are 138, 998, 476, 494

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 998 are 2 x 499

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 494 are 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 138, 998, 476, 494 is 2.

Given numbers are 138, 998, 476, 494

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

Apply this formula for all numbers.

Step1:

LCM(138, 998) = 68862

GCD(138, 998) = ( 138 x 998 ) / 68862

= 138 / 998

= 138

Step2:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

Step3:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

So, Greatest Common Divisor of 138, 998, 476, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 757, 165, 834
• GCD of 815, 363, 740, 322
• GCD of 589, 632, 723, 480
• GCD of 287, 590, 935, 747
• GCD of 624, 205, 375, 852

Given numbers are 138, 998, 476, 494
The greatest common divisor of numbers 138, 998, 476, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 998, 476, 494 is 2.

1. What is the GCD of 138, 998, 476, 494?

GCD of given numbers 138, 998, 476, 494 is 2

2. How to calculate the greatest common divisor of 138, 998, 476, 494?

We can find the highest common divisor of 138, 998, 476, 494 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 138, 998, 476, 494 i.e 2.

3. How can I use the GCD of 138, 998, 476, 494Calculator?

Out the numbers 138, 998, 476, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.