GCD of 506, 246, 84, 174 Calculator

Given Input numbers are 506, 246, 84, 174

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 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (506, 246, 84, 174) = 2.

Given numbers are 506, 246, 84, 174

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 246 are 2 x 3 x 41

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 506, 246, 84, 174 is 2.

Given numbers are 506, 246, 84, 174

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

Apply this formula for all numbers.

Step1:

LCM(506, 246) = 62238

GCD(506, 246) = ( 506 x 246 ) / 62238

= 506 / 246

= 506

Step2:

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

= 2 / 84

= 2

Step3:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

So, Greatest Common Divisor of 506, 246, 84, 174 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 806, 55, 654
• GCD of 463, 639, 20, 287
• GCD of 275, 569, 48, 635
• GCD of 291, 332, 20, 185
• GCD of 967, 322, 14, 418

Given numbers are 506, 246, 84, 174
The greatest common divisor of numbers 506, 246, 84, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 246, 84, 174 is 2.

1. What is the GCD of 506, 246, 84, 174?

GCD of given numbers 506, 246, 84, 174 is 2

2. How to calculate the greatest common divisor of 506, 246, 84, 174?

We can find the highest common divisor of 506, 246, 84, 174 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, 246, 84, 174 i.e 2.

3. How can I use the GCD of 506, 246, 84, 174Calculator?

Out the numbers 506, 246, 84, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.