GCD of 492, 752, 100, 575 Calculator

Given Input numbers are 492, 752, 100, 575

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 492, 752, 100, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 752, 100, 575 is 1.

Therefore, GCD of numbers 492, 752, 100, 575 is 1

Given Input Data is 492, 752, 100, 575

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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

Prime Factorization of 575 is 5 x 5 x 23

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(492, 752) = 92496

GCD(492, 752) = ( 492 x 752 ) / 92496

GCD(492, 752) = 369984 / 92496

GCD(492, 752) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 100

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

LCM(4, 100) = 100

GCD(4, 100) = ( 4 x 100 ) / 100

GCD(4, 100) = 400 / 100

GCD(4, 100) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 575

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

LCM(4, 575) = 2300

GCD(4, 575) = ( 4 x 575 ) / 2300

GCD(4, 575) = 2300 / 2300

GCD(4, 575) = 1

GCD of 492, 752, 100, 575 is 1

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• GCD of 911, 654, 269, 793
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1. What is the GCD of 492, 752, 100, 575?

GCD of 492, 752, 100, 575 is 1

2. Where do I get the detailed procedure to find GCD of 492, 752, 100, 575?

You can find a detailed procedure to find GCD of 492, 752, 100, 575 on our page.

3. How to find GCD of 492, 752, 100, 575 on a calculator?

You can find the GCD of 492, 752, 100, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.