GCD of 753, 144, 47, 632 Calculator

Given Input numbers are 753, 144, 47, 632

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 753, 144, 47, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 144, 47, 632 is 1.

Therefore, GCD of numbers 753, 144, 47, 632 is 1

Given Input Data is 753, 144, 47, 632

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 47 is 47

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(753, 144) = 36144

GCD(753, 144) = ( 753 x 144 ) / 36144

GCD(753, 144) = 108432 / 36144

GCD(753, 144) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

GCD of 753, 144, 47, 632 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 529, 44, 921
• GCD of 511, 158, 61, 997
• GCD of 636, 338, 72, 663
• GCD of 304, 788, 35, 901
• GCD of 636, 193, 50, 978

1. What is the GCD of 753, 144, 47, 632?

GCD of 753, 144, 47, 632 is 1

2. Where do I get the detailed procedure to find GCD of 753, 144, 47, 632?

You can find a detailed procedure to find GCD of 753, 144, 47, 632 on our page.

3. How to find GCD of 753, 144, 47, 632 on a calculator?

You can find the GCD of 753, 144, 47, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.