GCD of 769, 310, 73, 224 Calculator

Given Input numbers are 769, 310, 73, 224

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

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 769, 310, 73, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 310, 73, 224 is 1.

Therefore, GCD of numbers 769, 310, 73, 224 is 1

Given Input Data is 769, 310, 73, 224

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

Prime Factorization of 769 is 769

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 73 is 73

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(769, 310) = 238390

GCD(769, 310) = ( 769 x 310 ) / 238390

GCD(769, 310) = 238390 / 238390

GCD(769, 310) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 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 769, 310, 73, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 276, 53, 869
• GCD of 285, 850, 26, 708
• GCD of 345, 998, 15, 976
• GCD of 372, 795, 67, 271
• GCD of 679, 174, 34, 776

1. What is the GCD of 769, 310, 73, 224?

GCD of 769, 310, 73, 224 is 1

2. Where do I get the detailed procedure to find GCD of 769, 310, 73, 224?

You can find a detailed procedure to find GCD of 769, 310, 73, 224 on our page.

3. How to find GCD of 769, 310, 73, 224 on a calculator?

You can find the GCD of 769, 310, 73, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.