GCD of 462, 774, 618, 990 Calculator

Given Input numbers are 462, 774, 618, 990

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 774 :

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

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

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (462, 774, 618, 990) = 6.

Given numbers are 462, 774, 618, 990

The list of prime factors of all numbers are

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

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

Prime factors of 618 are 2 x 3 x 103

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 462, 774, 618, 990 is 6.

Given numbers are 462, 774, 618, 990

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

Apply this formula for all numbers.

Step1:

LCM(462, 774) = 59598

GCD(462, 774) = ( 462 x 774 ) / 59598

= 462 / 774

= 462

Step2:

LCM(6, 618) = 618

GCD(6, 618) = ( 6 x 618 ) / 618

= 6 / 618

= 6

Step3:

LCM(6, 990) = 990

GCD(6, 990) = ( 6 x 990 ) / 990

= 6 / 990

= 6

So, Greatest Common Divisor of 462, 774, 618, 990 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 149, 387, 691
• GCD of 531, 173, 491, 441
• GCD of 630, 435, 521, 597
• GCD of 708, 346, 597, 706
• GCD of 526, 620, 834, 501

Given numbers are 462, 774, 618, 990
The greatest common divisor of numbers 462, 774, 618, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 774, 618, 990 is 6.

1. What is the GCD of 462, 774, 618, 990?

GCD of given numbers 462, 774, 618, 990 is 6

2. How to calculate the greatest common divisor of 462, 774, 618, 990?

We can find the highest common divisor of 462, 774, 618, 990 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, 774, 618, 990 i.e 6.

3. How can I use the GCD of 462, 774, 618, 990Calculator?

Out the numbers 462, 774, 618, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.