GCD of 500, 576, 874, 268 Calculator

Given Input numbers are 500, 576, 874, 268

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (500, 576, 874, 268) = 2.

Given numbers are 500, 576, 874, 268

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 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 874 are 2 x 19 x 23

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 500, 576, 874, 268 is 2.

Given numbers are 500, 576, 874, 268

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

Apply this formula for all numbers.

Step1:

LCM(500, 576) = 72000

GCD(500, 576) = ( 500 x 576 ) / 72000

= 500 / 576

= 500

Step2:

LCM(4, 874) = 1748

GCD(4, 874) = ( 4 x 874 ) / 1748

= 4 / 874

= 4

Step3:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

So, Greatest Common Divisor of 500, 576, 874, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 695, 373, 723
• GCD of 787, 217, 175, 110
• GCD of 233, 530, 304, 663
• GCD of 792, 895, 991, 141
• GCD of 717, 825, 432, 594

Given numbers are 500, 576, 874, 268
The greatest common divisor of numbers 500, 576, 874, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 576, 874, 268 is 2.

1. What is the GCD of 500, 576, 874, 268?

GCD of given numbers 500, 576, 874, 268 is 2

2. How to calculate the greatest common divisor of 500, 576, 874, 268?

We can find the highest common divisor of 500, 576, 874, 268 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, 576, 874, 268 i.e 2.

3. How can I use the GCD of 500, 576, 874, 268Calculator?

Out the numbers 500, 576, 874, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.