GCD of 750, 426, 495, 531 Calculator

Given Input numbers are 750, 426, 495, 531

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 750, 426, 495, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 426, 495, 531 is 3.

Therefore, GCD of numbers 750, 426, 495, 531 is 3

Given Input Data is 750, 426, 495, 531

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 531 is 3 x 3 x 59

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(750, 426) = 53250

GCD(750, 426) = ( 750 x 426 ) / 53250

GCD(750, 426) = 319500 / 53250

GCD(750, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 495

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

LCM(6, 495) = 990

GCD(6, 495) = ( 6 x 495 ) / 990

GCD(6, 495) = 2970 / 990

GCD(6, 495) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 531

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

LCM(3, 531) = 531

GCD(3, 531) = ( 3 x 531 ) / 531

GCD(3, 531) = 1593 / 531

GCD(3, 531) = 3

GCD of 750, 426, 495, 531 is 3

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• GCD of 157, 883, 257, 712
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• GCD of 332, 850, 140, 412

1. What is the GCD of 750, 426, 495, 531?

GCD of 750, 426, 495, 531 is 3

2. Where do I get the detailed procedure to find GCD of 750, 426, 495, 531?

You can find a detailed procedure to find GCD of 750, 426, 495, 531 on our page.

3. How to find GCD of 750, 426, 495, 531 on a calculator?

You can find the GCD of 750, 426, 495, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.