GCD of 724, 278, 290 Calculator

Given Input numbers are 724, 278, 290

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 724, 278, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 278, 290 is 2.

Therefore, GCD of numbers 724, 278, 290 is 2

Given Input Data is 724, 278, 290

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 278 is 2 x 139

Prime Factorization of 290 is 2 x 5 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(724, 278) = 100636

GCD(724, 278) = ( 724 x 278 ) / 100636

GCD(724, 278) = 201272 / 100636

GCD(724, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

GCD of 724, 278, 290 is 2

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• GCD of 838, 623, 608
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1. What is the GCD of 724, 278, 290?

GCD of 724, 278, 290 is 2

2. Where do I get the detailed procedure to find GCD of 724, 278, 290?

You can find a detailed procedure to find GCD of 724, 278, 290 on our page.

3. How to find GCD of 724, 278, 290 on a calculator?

You can find the GCD of 724, 278, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.