GCD of 138, 442, 408, 791 Calculator

Given Input numbers are 138, 442, 408, 791

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

GCD of numbers is the greatest common divisor

So, the GCD (138, 442, 408, 791) = 1.

Given numbers are 138, 442, 408, 791

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 442 are 2 x 13 x 17

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 791 are 7 x 113

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

Given numbers are 138, 442, 408, 791

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

Apply this formula for all numbers.

Step1:

LCM(138, 442) = 30498

GCD(138, 442) = ( 138 x 442 ) / 30498

= 138 / 442

= 138

Step2:

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

= 2 / 408

= 2

Step3:

LCM(2, 791) = 1582

GCD(2, 791) = ( 2 x 791 ) / 1582

= 2 / 791

= 2

So, Greatest Common Divisor of 138, 442, 408, 791 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 680, 809, 531
• GCD of 126, 775, 234, 990
• GCD of 767, 295, 860, 999
• GCD of 404, 714, 762, 498
• GCD of 492, 394, 962, 686

Given numbers are 138, 442, 408, 791
The greatest common divisor of numbers 138, 442, 408, 791 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 442, 408, 791 is 1.

1. What is the GCD of 138, 442, 408, 791?

GCD of given numbers 138, 442, 408, 791 is 1

2. How to calculate the greatest common divisor of 138, 442, 408, 791?

We can find the highest common divisor of 138, 442, 408, 791 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, 442, 408, 791 i.e 1.

3. How can I use the GCD of 138, 442, 408, 791Calculator?

Out the numbers 138, 442, 408, 791 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.