GCD of 508, 306, 782, 842 Calculator

Given Input numbers are 508, 306, 782, 842

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (508, 306, 782, 842) = 2.

Given numbers are 508, 306, 782, 842

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 782 are 2 x 17 x 23

Prime factors of 842 are 2 x 421

The highest common occurrence is 2¹

Therefore, GCD of 508, 306, 782, 842 is 2.

Given numbers are 508, 306, 782, 842

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

Apply this formula for all numbers.

Step1:

LCM(508, 306) = 77724

GCD(508, 306) = ( 508 x 306 ) / 77724

= 508 / 306

= 508

Step2:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

Step3:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

So, Greatest Common Divisor of 508, 306, 782, 842 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 546, 441, 326
• GCD of 488, 119, 160, 982
• GCD of 620, 108, 311, 634
• GCD of 125, 860, 502, 571
• GCD of 502, 832, 118, 467

Given numbers are 508, 306, 782, 842
The greatest common divisor of numbers 508, 306, 782, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 306, 782, 842 is 2.

1. What is the GCD of 508, 306, 782, 842?

GCD of given numbers 508, 306, 782, 842 is 2

2. How to calculate the greatest common divisor of 508, 306, 782, 842?

We can find the highest common divisor of 508, 306, 782, 842 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 508, 306, 782, 842 i.e 2.

3. How can I use the GCD of 508, 306, 782, 842Calculator?

Out the numbers 508, 306, 782, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.