GCD of 753, 633, 90, 501 Calculator

Given Input numbers are 753, 633, 90, 501

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 753, 633, 90, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 633, 90, 501 is 3.

Therefore, GCD of numbers 753, 633, 90, 501 is 3

Given Input Data is 753, 633, 90, 501

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 633 is 3 x 211

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 501 is 3 x 167

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(753, 633) = 158883

GCD(753, 633) = ( 753 x 633 ) / 158883

GCD(753, 633) = 476649 / 158883

GCD(753, 633) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 501

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

LCM(3, 501) = 501

GCD(3, 501) = ( 3 x 501 ) / 501

GCD(3, 501) = 1503 / 501

GCD(3, 501) = 3

GCD of 753, 633, 90, 501 is 3

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• GCD of 433, 355, 75, 552
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1. What is the GCD of 753, 633, 90, 501?

GCD of 753, 633, 90, 501 is 3

2. Where do I get the detailed procedure to find GCD of 753, 633, 90, 501?

You can find a detailed procedure to find GCD of 753, 633, 90, 501 on our page.

3. How to find GCD of 753, 633, 90, 501 on a calculator?

You can find the GCD of 753, 633, 90, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.