GCD of 138, 489, 784, 203 Calculator

Given Input numbers are 138, 489, 784, 203

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 489 :

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

1, 3, 163, 489

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 203 :

The positive integer divisors of 203 that completely divides 203 are.

1, 7, 29, 203

GCD of numbers is the greatest common divisor

So, the GCD (138, 489, 784, 203) = 1.

Given numbers are 138, 489, 784, 203

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 489 are 3 x 163

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

Prime factors of 203 are 7 x 29

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

Given numbers are 138, 489, 784, 203

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

Apply this formula for all numbers.

Step1:

LCM(138, 489) = 22494

GCD(138, 489) = ( 138 x 489 ) / 22494

= 138 / 489

= 138

Step2:

LCM(3, 784) = 2352

GCD(3, 784) = ( 3 x 784 ) / 2352

= 3 / 784

= 3

Step3:

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

= 1 / 203

= 1

So, Greatest Common Divisor of 138, 489, 784, 203 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 216, 819, 599
• GCD of 902, 224, 902, 589
• GCD of 134, 394, 255, 779
• GCD of 718, 384, 310, 607
• GCD of 236, 738, 198, 865

Given numbers are 138, 489, 784, 203
The greatest common divisor of numbers 138, 489, 784, 203 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 489, 784, 203 is 1.

1. What is the GCD of 138, 489, 784, 203?

GCD of given numbers 138, 489, 784, 203 is 1

2. How to calculate the greatest common divisor of 138, 489, 784, 203?

We can find the highest common divisor of 138, 489, 784, 203 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, 489, 784, 203 i.e 1.

3. How can I use the GCD of 138, 489, 784, 203Calculator?

Out the numbers 138, 489, 784, 203 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.