GCD of 798, 872, 514, 838 Calculator

Given Input numbers are 798, 872, 514, 838

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

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 (798, 872, 514, 838) = 2.

Given numbers are 798, 872, 514, 838

The list of prime factors of all numbers are

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 514 are 2 x 257

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 798, 872, 514, 838 is 2.

Given numbers are 798, 872, 514, 838

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

Apply this formula for all numbers.

Step1:

LCM(798, 872) = 347928

GCD(798, 872) = ( 798 x 872 ) / 347928

= 798 / 872

= 798

Step2:

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

= 2 / 514

= 2

Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

So, Greatest Common Divisor of 798, 872, 514, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 228, 669, 714
• GCD of 289, 184, 434, 499
• GCD of 938, 707, 447, 237
• GCD of 983, 982, 613, 542
• GCD of 392, 225, 506, 312

Given numbers are 798, 872, 514, 838
The greatest common divisor of numbers 798, 872, 514, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 872, 514, 838 is 2.

1. What is the GCD of 798, 872, 514, 838?

GCD of given numbers 798, 872, 514, 838 is 2

2. How to calculate the greatest common divisor of 798, 872, 514, 838?

We can find the highest common divisor of 798, 872, 514, 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 798, 872, 514, 838 i.e 2.

3. How can I use the GCD of 798, 872, 514, 838Calculator?

Out the numbers 798, 872, 514, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.