GCD of 759, 901, 121, 224 Calculator

Given Input numbers are 759, 901, 121, 224

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

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

Greatest Common Divisior

We found the divisors of 759, 901, 121, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 901, 121, 224 is 1.

Therefore, GCD of numbers 759, 901, 121, 224 is 1

Given Input Data is 759, 901, 121, 224

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 901 is 17 x 53

Prime Factorization of 121 is 11 x 11

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

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(759, 901) = 683859

GCD(759, 901) = ( 759 x 901 ) / 683859

GCD(759, 901) = 683859 / 683859

GCD(759, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 759, 901, 121, 224 is 1

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1. What is the GCD of 759, 901, 121, 224?

GCD of 759, 901, 121, 224 is 1

2. Where do I get the detailed procedure to find GCD of 759, 901, 121, 224?

You can find a detailed procedure to find GCD of 759, 901, 121, 224 on our page.

3. How to find GCD of 759, 901, 121, 224 on a calculator?

You can find the GCD of 759, 901, 121, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.