GCD of 448, 566, 782, 990 Calculator

Given Input numbers are 448, 566, 782, 990

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

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

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 (448, 566, 782, 990) = 2.

Given numbers are 448, 566, 782, 990

The list of prime factors of all numbers are

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 566 are 2 x 283

Prime factors of 782 are 2 x 17 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 448, 566, 782, 990 is 2.

Given numbers are 448, 566, 782, 990

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

Apply this formula for all numbers.

Step1:

LCM(448, 566) = 126784

GCD(448, 566) = ( 448 x 566 ) / 126784

= 448 / 566

= 448

Step2:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 448, 566, 782, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 865, 277, 574
• GCD of 896, 905, 208, 955
• GCD of 296, 651, 363, 326
• GCD of 101, 549, 171, 481
• GCD of 211, 292, 399, 713

Given numbers are 448, 566, 782, 990
The greatest common divisor of numbers 448, 566, 782, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 566, 782, 990 is 2.

1. What is the GCD of 448, 566, 782, 990?

GCD of given numbers 448, 566, 782, 990 is 2

2. How to calculate the greatest common divisor of 448, 566, 782, 990?

We can find the highest common divisor of 448, 566, 782, 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 448, 566, 782, 990 i.e 2.

3. How can I use the GCD of 448, 566, 782, 990Calculator?

Out the numbers 448, 566, 782, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.