GCD of 496, 100, 151, 733 Calculator

Given Input numbers are 496, 100, 151, 733

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

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 496, 100, 151, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 100, 151, 733 is 1.

Therefore, GCD of numbers 496, 100, 151, 733 is 1

Given Input Data is 496, 100, 151, 733

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 151 is 151

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(496, 100) = 12400

GCD(496, 100) = ( 496 x 100 ) / 12400

GCD(496, 100) = 49600 / 12400

GCD(496, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 151

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

LCM(4, 151) = 604

GCD(4, 151) = ( 4 x 151 ) / 604

GCD(4, 151) = 604 / 604

GCD(4, 151) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 496, 100, 151, 733 is 1

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1. What is the GCD of 496, 100, 151, 733?

GCD of 496, 100, 151, 733 is 1

2. Where do I get the detailed procedure to find GCD of 496, 100, 151, 733?

You can find a detailed procedure to find GCD of 496, 100, 151, 733 on our page.

3. How to find GCD of 496, 100, 151, 733 on a calculator?

You can find the GCD of 496, 100, 151, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.