GCD of 446, 792, 660, 490 Calculator

Given Input numbers are 446, 792, 660, 490

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

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (446, 792, 660, 490) = 2.

Given numbers are 446, 792, 660, 490

The list of prime factors of all numbers are

Prime factors of 446 are 2 x 223

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 446, 792, 660, 490 is 2.

Given numbers are 446, 792, 660, 490

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

Apply this formula for all numbers.

Step1:

LCM(446, 792) = 176616

GCD(446, 792) = ( 446 x 792 ) / 176616

= 446 / 792

= 446

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 446, 792, 660, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 132, 188, 180
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Given numbers are 446, 792, 660, 490
The greatest common divisor of numbers 446, 792, 660, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 792, 660, 490 is 2.

1. What is the GCD of 446, 792, 660, 490?

GCD of given numbers 446, 792, 660, 490 is 2

2. How to calculate the greatest common divisor of 446, 792, 660, 490?

We can find the highest common divisor of 446, 792, 660, 490 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 446, 792, 660, 490 i.e 2.

3. How can I use the GCD of 446, 792, 660, 490Calculator?

Out the numbers 446, 792, 660, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.