GCD of 224, 353, 78, 770 Calculator

Given Input numbers are 224, 353, 78, 770

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 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 224, 353, 78, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 353, 78, 770 is 1.

Therefore, GCD of numbers 224, 353, 78, 770 is 1

Given Input Data is 224, 353, 78, 770

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 353 is 353

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 770 is 2 x 5 x 7 x 11

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, 353) = 79072

GCD(224, 353) = ( 224 x 353 ) / 79072

GCD(224, 353) = 79072 / 79072

GCD(224, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 224, 353, 78, 770 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 225, 97, 730
• GCD of 342, 725, 39, 750
• GCD of 870, 564, 71, 840
• GCD of 154, 209, 46, 581
• GCD of 686, 744, 95, 706

1. What is the GCD of 224, 353, 78, 770?

GCD of 224, 353, 78, 770 is 1

2. Where do I get the detailed procedure to find GCD of 224, 353, 78, 770?

You can find a detailed procedure to find GCD of 224, 353, 78, 770 on our page.

3. How to find GCD of 224, 353, 78, 770 on a calculator?

You can find the GCD of 224, 353, 78, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.