GCD of 465, 246, 798, 990 Calculator

Given Input numbers are 465, 246, 798, 990

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 246 :

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

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 (465, 246, 798, 990) = 3.

Given numbers are 465, 246, 798, 990

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 246 are 2 x 3 x 41

Prime factors of 798 are 2 x 3 x 7 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 465, 246, 798, 990 is 3.

Given numbers are 465, 246, 798, 990

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

Apply this formula for all numbers.

Step1:

LCM(465, 246) = 38130

GCD(465, 246) = ( 465 x 246 ) / 38130

= 465 / 246

= 465

Step2:

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

= 3 / 798

= 3

Step3:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3

So, Greatest Common Divisor of 465, 246, 798, 990 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 217, 164, 705
• GCD of 561, 577, 269, 575
• GCD of 386, 167, 668, 335
• GCD of 599, 632, 300, 101
• GCD of 564, 712, 547, 700

Given numbers are 465, 246, 798, 990
The greatest common divisor of numbers 465, 246, 798, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 246, 798, 990 is 3.

1. What is the GCD of 465, 246, 798, 990?

GCD of given numbers 465, 246, 798, 990 is 3

2. How to calculate the greatest common divisor of 465, 246, 798, 990?

We can find the highest common divisor of 465, 246, 798, 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 465, 246, 798, 990 i.e 3.

3. How can I use the GCD of 465, 246, 798, 990Calculator?

Out the numbers 465, 246, 798, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.