GCD of 138, 108, 423, 848 Calculator

Given Input numbers are 138, 108, 423, 848

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

GCD of numbers is the greatest common divisor

So, the GCD (138, 108, 423, 848) = 1.

Given numbers are 138, 108, 423, 848

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 423 are 3 x 3 x 47

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

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

Given numbers are 138, 108, 423, 848

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

Apply this formula for all numbers.

Step1:

LCM(138, 108) = 2484

GCD(138, 108) = ( 138 x 108 ) / 2484

= 138 / 108

= 138

Step2:

LCM(6, 423) = 846

GCD(6, 423) = ( 6 x 423 ) / 846

= 6 / 423

= 6

Step3:

LCM(3, 848) = 2544

GCD(3, 848) = ( 3 x 848 ) / 2544

= 3 / 848

= 3

So, Greatest Common Divisor of 138, 108, 423, 848 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 138, 727, 151
• GCD of 465, 316, 640, 344
• GCD of 217, 382, 534, 272
• GCD of 257, 159, 272, 753
• GCD of 334, 194, 493, 471

Given numbers are 138, 108, 423, 848
The greatest common divisor of numbers 138, 108, 423, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 108, 423, 848 is 1.

1. What is the GCD of 138, 108, 423, 848?

GCD of given numbers 138, 108, 423, 848 is 1

2. How to calculate the greatest common divisor of 138, 108, 423, 848?

We can find the highest common divisor of 138, 108, 423, 848 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, 108, 423, 848 i.e 1.

3. How can I use the GCD of 138, 108, 423, 848Calculator?

Out the numbers 138, 108, 423, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.