GCD of 753, 440, 254, 143 Calculator

Given Input numbers are 753, 440, 254, 143

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 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 753, 440, 254, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 440, 254, 143 is 1.

Therefore, GCD of numbers 753, 440, 254, 143 is 1

Given Input Data is 753, 440, 254, 143

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 254 is 2 x 127

Prime Factorization of 143 is 11 x 13

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, 440) = 331320

GCD(753, 440) = ( 753 x 440 ) / 331320

GCD(753, 440) = 331320 / 331320

GCD(753, 440) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 753, 440, 254, 143 is 1

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1. What is the GCD of 753, 440, 254, 143?

GCD of 753, 440, 254, 143 is 1

2. Where do I get the detailed procedure to find GCD of 753, 440, 254, 143?

You can find a detailed procedure to find GCD of 753, 440, 254, 143 on our page.

3. How to find GCD of 753, 440, 254, 143 on a calculator?

You can find the GCD of 753, 440, 254, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.