GCD of 798, 920, 502, 204 Calculator

Given Input numbers are 798, 920, 502, 204

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (798, 920, 502, 204) = 2.

Given numbers are 798, 920, 502, 204

The list of prime factors of all numbers are

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

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 502 are 2 x 251

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 798, 920, 502, 204 is 2.

Given numbers are 798, 920, 502, 204

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

Apply this formula for all numbers.

Step1:

LCM(798, 920) = 367080

GCD(798, 920) = ( 798 x 920 ) / 367080

= 798 / 920

= 798

Step2:

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

= 2 / 502

= 2

Step3:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

So, Greatest Common Divisor of 798, 920, 502, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 580, 171, 278
• GCD of 587, 842, 702, 637
• GCD of 302, 360, 368, 873
• GCD of 822, 968, 203, 752
• GCD of 794, 160, 233, 477

Given numbers are 798, 920, 502, 204
The greatest common divisor of numbers 798, 920, 502, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 920, 502, 204 is 2.

1. What is the GCD of 798, 920, 502, 204?

GCD of given numbers 798, 920, 502, 204 is 2

2. How to calculate the greatest common divisor of 798, 920, 502, 204?

We can find the highest common divisor of 798, 920, 502, 204 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, 920, 502, 204 i.e 2.

3. How can I use the GCD of 798, 920, 502, 204Calculator?

Out the numbers 798, 920, 502, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.