GCD of 698, 562, 580 Calculator

Given Input numbers are 698, 562, 580

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 698, 562, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 562, 580 is 2.

Therefore, GCD of numbers 698, 562, 580 is 2

Given Input Data is 698, 562, 580

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 562 is 2 x 281

Prime Factorization of 580 is 2 x 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(698, 562) = 196138

GCD(698, 562) = ( 698 x 562 ) / 196138

GCD(698, 562) = 392276 / 196138

GCD(698, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

GCD of 698, 562, 580 is 2

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1. What is the GCD of 698, 562, 580?

GCD of 698, 562, 580 is 2

2. Where do I get the detailed procedure to find GCD of 698, 562, 580?

You can find a detailed procedure to find GCD of 698, 562, 580 on our page.

3. How to find GCD of 698, 562, 580 on a calculator?

You can find the GCD of 698, 562, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.