GCD of 462, 506, 198, 774 Calculator

Given Input numbers are 462, 506, 198, 774

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 506 :

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

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

GCD of numbers is the greatest common divisor

So, the GCD (462, 506, 198, 774) = 2.

Given numbers are 462, 506, 198, 774

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 506 are 2 x 11 x 23

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 774 are 2 x 3 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 462, 506, 198, 774 is 2.

Given numbers are 462, 506, 198, 774

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

Apply this formula for all numbers.

Step1:

LCM(462, 506) = 10626

GCD(462, 506) = ( 462 x 506 ) / 10626

= 462 / 506

= 462

Step2:

LCM(22, 198) = 198

GCD(22, 198) = ( 22 x 198 ) / 198

= 22 / 198

= 22

Step3:

LCM(22, 774) = 8514

GCD(22, 774) = ( 22 x 774 ) / 8514

= 22 / 774

= 22

So, Greatest Common Divisor of 462, 506, 198, 774 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 465, 873, 666
• GCD of 961, 996, 790, 132
• GCD of 992, 216, 236, 301
• GCD of 371, 639, 514, 307
• GCD of 588, 876, 484, 775

Given numbers are 462, 506, 198, 774
The greatest common divisor of numbers 462, 506, 198, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 506, 198, 774 is 2.

1. What is the GCD of 462, 506, 198, 774?

GCD of given numbers 462, 506, 198, 774 is 2

2. How to calculate the greatest common divisor of 462, 506, 198, 774?

We can find the highest common divisor of 462, 506, 198, 774 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 462, 506, 198, 774 i.e 2.

3. How can I use the GCD of 462, 506, 198, 774Calculator?

Out the numbers 462, 506, 198, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.