GCD of 500, 944, 460, 528 Calculator

Given Input numbers are 500, 944, 460, 528

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 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (500, 944, 460, 528) = 4.

Given numbers are 500, 944, 460, 528

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 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2²

Therefore, GCD of 500, 944, 460, 528 is 4.

Given numbers are 500, 944, 460, 528

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

Apply this formula for all numbers.

Step1:

LCM(500, 944) = 118000

GCD(500, 944) = ( 500 x 944 ) / 118000

= 500 / 944

= 500

Step2:

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

= 4 / 460

= 4

Step3:

LCM(4, 528) = 528

GCD(4, 528) = ( 4 x 528 ) / 528

= 4 / 528

= 4

So, Greatest Common Divisor of 500, 944, 460, 528 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 321, 512, 727
• GCD of 212, 921, 784, 206
• GCD of 225, 509, 442, 182
• GCD of 612, 487, 232, 909
• GCD of 742, 186, 581, 924

Given numbers are 500, 944, 460, 528
The greatest common divisor of numbers 500, 944, 460, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 944, 460, 528 is 4.

1. What is the GCD of 500, 944, 460, 528?

GCD of given numbers 500, 944, 460, 528 is 4

2. How to calculate the greatest common divisor of 500, 944, 460, 528?

We can find the highest common divisor of 500, 944, 460, 528 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, 944, 460, 528 i.e 4.

3. How can I use the GCD of 500, 944, 460, 528Calculator?

Out the numbers 500, 944, 460, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.