GCD of 224, 753, 914, 788 Calculator

Given Input numbers are 224, 753, 914, 788

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 753

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

1, 3, 251, 753

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 224, 753, 914, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 753, 914, 788 is 1.

Therefore, GCD of numbers 224, 753, 914, 788 is 1

Given Input Data is 224, 753, 914, 788

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 753 is 3 x 251

Prime Factorization of 914 is 2 x 457

Prime Factorization of 788 is 2 x 2 x 197

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(224, 753) = 168672

GCD(224, 753) = ( 224 x 753 ) / 168672

GCD(224, 753) = 168672 / 168672

GCD(224, 753) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 224, 753, 914, 788 is 1

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1. What is the GCD of 224, 753, 914, 788?

GCD of 224, 753, 914, 788 is 1

2. Where do I get the detailed procedure to find GCD of 224, 753, 914, 788?

You can find a detailed procedure to find GCD of 224, 753, 914, 788 on our page.

3. How to find GCD of 224, 753, 914, 788 on a calculator?

You can find the GCD of 224, 753, 914, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.