GCD of 868, 728, 536, 500 Calculator

Given Input numbers are 868, 728, 536, 500

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

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

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

GCD of numbers is the greatest common divisor

So, the GCD (868, 728, 536, 500) = 4.

Given numbers are 868, 728, 536, 500

The list of prime factors of all numbers are

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 536 are 2 x 2 x 2 x 67

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

The highest common occurrence is 2²

Therefore, GCD of 868, 728, 536, 500 is 4.

Given numbers are 868, 728, 536, 500

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

Apply this formula for all numbers.

Step1:

LCM(868, 728) = 22568

GCD(868, 728) = ( 868 x 728 ) / 22568

= 868 / 728

= 868

Step2:

LCM(28, 536) = 3752

GCD(28, 536) = ( 28 x 536 ) / 3752

= 28 / 536

= 28

Step3:

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

= 4 / 500

= 4

So, Greatest Common Divisor of 868, 728, 536, 500 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 609, 847, 994
• GCD of 437, 141, 566, 313
• GCD of 177, 865, 810, 291
• GCD of 851, 254, 469, 183
• GCD of 768, 795, 686, 145

Given numbers are 868, 728, 536, 500
The greatest common divisor of numbers 868, 728, 536, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 728, 536, 500 is 4.

1. What is the GCD of 868, 728, 536, 500?

GCD of given numbers 868, 728, 536, 500 is 4

2. How to calculate the greatest common divisor of 868, 728, 536, 500?

We can find the highest common divisor of 868, 728, 536, 500 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 868, 728, 536, 500 i.e 4.

3. How can I use the GCD of 868, 728, 536, 500Calculator?

Out the numbers 868, 728, 536, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.