GCD of 550, 105, 792, 838 Calculator

Given Input numbers are 550, 105, 792, 838

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (550, 105, 792, 838) = 1.

Given numbers are 550, 105, 792, 838

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 105 are 3 x 5 x 7

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 838 are 2 x 419

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

Given numbers are 550, 105, 792, 838

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

Apply this formula for all numbers.

Step1:

LCM(550, 105) = 11550

GCD(550, 105) = ( 550 x 105 ) / 11550

= 550 / 105

= 550

Step2:

LCM(5, 792) = 3960

GCD(5, 792) = ( 5 x 792 ) / 3960

= 5 / 792

= 5

Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

So, Greatest Common Divisor of 550, 105, 792, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 460, 948, 931
• GCD of 531, 815, 524, 162
• GCD of 403, 381, 119, 242
• GCD of 169, 873, 439, 452
• GCD of 122, 672, 110, 282

Given numbers are 550, 105, 792, 838
The greatest common divisor of numbers 550, 105, 792, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 105, 792, 838 is 1.

1. What is the GCD of 550, 105, 792, 838?

GCD of given numbers 550, 105, 792, 838 is 1

2. How to calculate the greatest common divisor of 550, 105, 792, 838?

We can find the highest common divisor of 550, 105, 792, 838 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 550, 105, 792, 838 i.e 1.

3. How can I use the GCD of 550, 105, 792, 838Calculator?

Out the numbers 550, 105, 792, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.