GCD of 138, 638, 416, 824 Calculator

Given Input numbers are 138, 638, 416, 824

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 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (138, 638, 416, 824) = 2.

Given numbers are 138, 638, 416, 824

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 638 are 2 x 11 x 29

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 138, 638, 416, 824 is 2.

Given numbers are 138, 638, 416, 824

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

Apply this formula for all numbers.

Step1:

LCM(138, 638) = 44022

GCD(138, 638) = ( 138 x 638 ) / 44022

= 138 / 638

= 138

Step2:

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

= 2 / 416

= 2

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 138, 638, 416, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 826, 377, 952
• GCD of 451, 734, 317, 154
• GCD of 460, 907, 253, 240
• GCD of 165, 717, 120, 493
• GCD of 739, 757, 846, 199

Given numbers are 138, 638, 416, 824
The greatest common divisor of numbers 138, 638, 416, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 638, 416, 824 is 2.

1. What is the GCD of 138, 638, 416, 824?

GCD of given numbers 138, 638, 416, 824 is 2

2. How to calculate the greatest common divisor of 138, 638, 416, 824?

We can find the highest common divisor of 138, 638, 416, 824 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, 638, 416, 824 i.e 2.

3. How can I use the GCD of 138, 638, 416, 824Calculator?

Out the numbers 138, 638, 416, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.