GCD of 916, 100, 48, 537 Calculator

Given Input numbers are 916, 100, 48, 537

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 916, 100, 48, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 100, 48, 537 is 1.

Therefore, GCD of numbers 916, 100, 48, 537 is 1

Given Input Data is 916, 100, 48, 537

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

Prime Factorization of 916 is 2 x 2 x 229

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 537 is 3 x 179

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(916, 100) = 22900

GCD(916, 100) = ( 916 x 100 ) / 22900

GCD(916, 100) = 91600 / 22900

GCD(916, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 48

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

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

GCD(4, 48) = 192 / 48

GCD(4, 48) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 537

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

LCM(4, 537) = 2148

GCD(4, 537) = ( 4 x 537 ) / 2148

GCD(4, 537) = 2148 / 2148

GCD(4, 537) = 1

GCD of 916, 100, 48, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 998, 73, 890
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• GCD of 126, 807, 14, 326
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• GCD of 429, 664, 26, 670

1. What is the GCD of 916, 100, 48, 537?

GCD of 916, 100, 48, 537 is 1

2. Where do I get the detailed procedure to find GCD of 916, 100, 48, 537?

You can find a detailed procedure to find GCD of 916, 100, 48, 537 on our page.

3. How to find GCD of 916, 100, 48, 537 on a calculator?

You can find the GCD of 916, 100, 48, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.