GCD of 506, 766, 998, 162 Calculator

Given Input numbers are 506, 766, 998, 162

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 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (506, 766, 998, 162) = 2.

Given numbers are 506, 766, 998, 162

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 766 are 2 x 383

Prime factors of 998 are 2 x 499

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 506, 766, 998, 162 is 2.

Given numbers are 506, 766, 998, 162

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

Apply this formula for all numbers.

Step1:

LCM(506, 766) = 193798

GCD(506, 766) = ( 506 x 766 ) / 193798

= 506 / 766

= 506

Step2:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

Step3:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 506, 766, 998, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 589, 682, 316
• GCD of 799, 148, 185, 386
• GCD of 156, 347, 181, 908
• GCD of 261, 661, 479, 407
• GCD of 174, 590, 255, 200

Given numbers are 506, 766, 998, 162
The greatest common divisor of numbers 506, 766, 998, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 766, 998, 162 is 2.

1. What is the GCD of 506, 766, 998, 162?

GCD of given numbers 506, 766, 998, 162 is 2

2. How to calculate the greatest common divisor of 506, 766, 998, 162?

We can find the highest common divisor of 506, 766, 998, 162 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, 766, 998, 162 i.e 2.

3. How can I use the GCD of 506, 766, 998, 162Calculator?

Out the numbers 506, 766, 998, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.