GCD of 122, 384, 138, 646 Calculator

Given Input numbers are 122, 384, 138, 646

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

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 138 :

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

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

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

GCD of numbers is the greatest common divisor

So, the GCD (122, 384, 138, 646) = 2.

Given numbers are 122, 384, 138, 646

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 138 are 2 x 3 x 23

Prime factors of 646 are 2 x 17 x 19

The highest common occurrence is 2¹

Therefore, GCD of 122, 384, 138, 646 is 2.

Given numbers are 122, 384, 138, 646

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

Apply this formula for all numbers.

Step1:

LCM(122, 384) = 23424

GCD(122, 384) = ( 122 x 384 ) / 23424

= 122 / 384

= 122

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

So, Greatest Common Divisor of 122, 384, 138, 646 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 307, 356, 734
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Given numbers are 122, 384, 138, 646
The greatest common divisor of numbers 122, 384, 138, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 384, 138, 646 is 2.

1. What is the GCD of 122, 384, 138, 646?

GCD of given numbers 122, 384, 138, 646 is 2

2. How to calculate the greatest common divisor of 122, 384, 138, 646?

We can find the highest common divisor of 122, 384, 138, 646 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 122, 384, 138, 646 i.e 2.

3. How can I use the GCD of 122, 384, 138, 646Calculator?

Out the numbers 122, 384, 138, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.