GCD of 753, 864, 55, 421 Calculator

Given Input numbers are 753, 864, 55, 421

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 753, 864, 55, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 864, 55, 421 is 1.

Therefore, GCD of numbers 753, 864, 55, 421 is 1

Given Input Data is 753, 864, 55, 421

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 55 is 5 x 11

Prime Factorization of 421 is 421

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, 864) = 216864

GCD(753, 864) = ( 753 x 864 ) / 216864

GCD(753, 864) = 650592 / 216864

GCD(753, 864) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 55

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

LCM(3, 55) = 165

GCD(3, 55) = ( 3 x 55 ) / 165

GCD(3, 55) = 165 / 165

GCD(3, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 753, 864, 55, 421 is 1

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• GCD of 553, 549, 97, 107
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• GCD of 675, 403, 47, 986

1. What is the GCD of 753, 864, 55, 421?

GCD of 753, 864, 55, 421 is 1

2. Where do I get the detailed procedure to find GCD of 753, 864, 55, 421?

You can find a detailed procedure to find GCD of 753, 864, 55, 421 on our page.

3. How to find GCD of 753, 864, 55, 421 on a calculator?

You can find the GCD of 753, 864, 55, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.