GCD of 502, 312, 477, 825 Calculator

Given Input numbers are 502, 312, 477, 825

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (502, 312, 477, 825) = 1.

Given numbers are 502, 312, 477, 825

The list of prime factors of all numbers are

Prime factors of 502 are 2 x 251

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 477 are 3 x 3 x 53

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 502, 312, 477, 825

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

Apply this formula for all numbers.

Step1:

LCM(502, 312) = 78312

GCD(502, 312) = ( 502 x 312 ) / 78312

= 502 / 312

= 502

Step2:

LCM(2, 477) = 954

GCD(2, 477) = ( 2 x 477 ) / 954

= 2 / 477

= 2

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 502, 312, 477, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 287, 770, 294
• GCD of 319, 527, 325, 835
• GCD of 931, 119, 213, 408
• GCD of 332, 515, 245, 734
• GCD of 469, 859, 160, 435

Given numbers are 502, 312, 477, 825
The greatest common divisor of numbers 502, 312, 477, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 312, 477, 825 is 1.

1. What is the GCD of 502, 312, 477, 825?

GCD of given numbers 502, 312, 477, 825 is 1

2. How to calculate the greatest common divisor of 502, 312, 477, 825?

We can find the highest common divisor of 502, 312, 477, 825 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, 312, 477, 825 i.e 1.

3. How can I use the GCD of 502, 312, 477, 825Calculator?

Out the numbers 502, 312, 477, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.