GCD of 506, 298, 422, 248 Calculator

Given Input numbers are 506, 298, 422, 248

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

GCD of numbers is the greatest common divisor

So, the GCD (506, 298, 422, 248) = 2.

Given numbers are 506, 298, 422, 248

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 298 are 2 x 149

Prime factors of 422 are 2 x 211

Prime factors of 248 are 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 506, 298, 422, 248 is 2.

Given numbers are 506, 298, 422, 248

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

Apply this formula for all numbers.

Step1:

LCM(506, 298) = 75394

GCD(506, 298) = ( 506 x 298 ) / 75394

= 506 / 298

= 506

Step2:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

Step3:

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

= 2 / 248

= 2

So, Greatest Common Divisor of 506, 298, 422, 248 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 716, 821, 950
• GCD of 230, 408, 987, 464
• GCD of 953, 371, 643, 343
• GCD of 562, 815, 388, 475
• GCD of 965, 230, 360, 471

Given numbers are 506, 298, 422, 248
The greatest common divisor of numbers 506, 298, 422, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 298, 422, 248 is 2.

1. What is the GCD of 506, 298, 422, 248?

GCD of given numbers 506, 298, 422, 248 is 2

2. How to calculate the greatest common divisor of 506, 298, 422, 248?

We can find the highest common divisor of 506, 298, 422, 248 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 506, 298, 422, 248 i.e 2.

3. How can I use the GCD of 506, 298, 422, 248Calculator?

Out the numbers 506, 298, 422, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.