GCD of 64, 748, 500, 733 Calculator

Given Input numbers are 64, 748, 500, 733

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

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

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 64, 748, 500, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 748, 500, 733 is 1.

Therefore, GCD of numbers 64, 748, 500, 733 is 1

Given Input Data is 64, 748, 500, 733

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 733 is 733

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(64, 748) = 11968

GCD(64, 748) = ( 64 x 748 ) / 11968

GCD(64, 748) = 47872 / 11968

GCD(64, 748) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 500

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

LCM(4, 500) = 500

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

GCD(4, 500) = 2000 / 500

GCD(4, 500) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 733

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

LCM(4, 733) = 2932

GCD(4, 733) = ( 4 x 733 ) / 2932

GCD(4, 733) = 2932 / 2932

GCD(4, 733) = 1

GCD of 64, 748, 500, 733 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 942, 460, 888
• GCD of 11, 783, 254, 676
• GCD of 31, 428, 293, 540
• GCD of 95, 327, 995, 700
• GCD of 26, 298, 889, 356

1. What is the GCD of 64, 748, 500, 733?

GCD of 64, 748, 500, 733 is 1

2. Where do I get the detailed procedure to find GCD of 64, 748, 500, 733?

You can find a detailed procedure to find GCD of 64, 748, 500, 733 on our page.

3. How to find GCD of 64, 748, 500, 733 on a calculator?

You can find the GCD of 64, 748, 500, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.