GCD of 489, 299, 46, 138 Calculator

Given Input numbers are 489, 299, 46, 138

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (489, 299, 46, 138) = 1.

Given numbers are 489, 299, 46, 138

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 299 are 13 x 23

Prime factors of 46 are 2 x 23

Prime factors of 138 are 2 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 489, 299, 46, 138

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

Apply this formula for all numbers.

Step1:

LCM(489, 299) = 146211

GCD(489, 299) = ( 489 x 299 ) / 146211

= 489 / 299

= 489

Step2:

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

= 1 / 46

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 489, 299, 46, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 570, 18, 639
• GCD of 320, 634, 30, 729
• GCD of 700, 619, 43, 591
• GCD of 130, 638, 94, 130
• GCD of 499, 422, 17, 293

Given numbers are 489, 299, 46, 138
The greatest common divisor of numbers 489, 299, 46, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 299, 46, 138 is 1.

1. What is the GCD of 489, 299, 46, 138?

GCD of given numbers 489, 299, 46, 138 is 1

2. How to calculate the greatest common divisor of 489, 299, 46, 138?

We can find the highest common divisor of 489, 299, 46, 138 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 489, 299, 46, 138 i.e 1.

3. How can I use the GCD of 489, 299, 46, 138Calculator?

Out the numbers 489, 299, 46, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.