GCD of 280, 710, 223, 702 Calculator

Given Input numbers are 280, 710, 223, 702

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 280, 710, 223, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 710, 223, 702 is 1.

Therefore, GCD of numbers 280, 710, 223, 702 is 1

Given Input Data is 280, 710, 223, 702

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 223 is 223

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(280, 710) = 19880

GCD(280, 710) = ( 280 x 710 ) / 19880

GCD(280, 710) = 198800 / 19880

GCD(280, 710) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 223

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

LCM(10, 223) = 2230

GCD(10, 223) = ( 10 x 223 ) / 2230

GCD(10, 223) = 2230 / 2230

GCD(10, 223) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 280, 710, 223, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 169, 730, 264
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• GCD of 585, 409, 972, 920

1. What is the GCD of 280, 710, 223, 702?

GCD of 280, 710, 223, 702 is 1

2. Where do I get the detailed procedure to find GCD of 280, 710, 223, 702?

You can find a detailed procedure to find GCD of 280, 710, 223, 702 on our page.

3. How to find GCD of 280, 710, 223, 702 on a calculator?

You can find the GCD of 280, 710, 223, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.