GCD of 502, 230, 120, 822 Calculator

Given Input numbers are 502, 230, 120, 822

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

Divisors of 502 :

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

1, 2, 251, 502

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (502, 230, 120, 822) = 2.

Given numbers are 502, 230, 120, 822

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

Prime factors of 230 are 2 x 5 x 23

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 502, 230, 120, 822 is 2.

Given numbers are 502, 230, 120, 822

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

Apply this formula for all numbers.

Step1:

LCM(502, 230) = 57730

GCD(502, 230) = ( 502 x 230 ) / 57730

= 502 / 230

= 502

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 502, 230, 120, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 998, 230, 948
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Given numbers are 502, 230, 120, 822
The greatest common divisor of numbers 502, 230, 120, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 230, 120, 822 is 2.

1. What is the GCD of 502, 230, 120, 822?

GCD of given numbers 502, 230, 120, 822 is 2

2. How to calculate the greatest common divisor of 502, 230, 120, 822?

We can find the highest common divisor of 502, 230, 120, 822 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 502, 230, 120, 822 i.e 2.

3. How can I use the GCD of 502, 230, 120, 822Calculator?

Out the numbers 502, 230, 120, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.