GCD of 500, 448, 284, 266 Calculator

Given Input numbers are 500, 448, 284, 266

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

GCD of numbers is the greatest common divisor

So, the GCD (500, 448, 284, 266) = 2.

Given numbers are 500, 448, 284, 266

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Prime factors of 284 are 2 x 2 x 71

Prime factors of 266 are 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 500, 448, 284, 266 is 2.

Given numbers are 500, 448, 284, 266

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

Apply this formula for all numbers.

Step1:

LCM(500, 448) = 56000

GCD(500, 448) = ( 500 x 448 ) / 56000

= 500 / 448

= 500

Step2:

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

= 4 / 284

= 4

Step3:

LCM(4, 266) = 532

GCD(4, 266) = ( 4 x 266 ) / 532

= 4 / 266

= 4

So, Greatest Common Divisor of 500, 448, 284, 266 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 419, 948, 956
• GCD of 942, 872, 757, 787
• GCD of 175, 218, 886, 504
• GCD of 202, 735, 461, 792
• GCD of 451, 854, 375, 758

Given numbers are 500, 448, 284, 266
The greatest common divisor of numbers 500, 448, 284, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 448, 284, 266 is 2.

1. What is the GCD of 500, 448, 284, 266?

GCD of given numbers 500, 448, 284, 266 is 2

2. How to calculate the greatest common divisor of 500, 448, 284, 266?

We can find the highest common divisor of 500, 448, 284, 266 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 500, 448, 284, 266 i.e 2.

3. How can I use the GCD of 500, 448, 284, 266Calculator?

Out the numbers 500, 448, 284, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.