GCD of 698, 541, 89, 730 Calculator

Given Input numbers are 698, 541, 89, 730

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 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 698, 541, 89, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 541, 89, 730 is 1.

Therefore, GCD of numbers 698, 541, 89, 730 is 1

Given Input Data is 698, 541, 89, 730

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 541 is 541

Prime Factorization of 89 is 89

Prime Factorization of 730 is 2 x 5 x 73

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(698, 541) = 377618

GCD(698, 541) = ( 698 x 541 ) / 377618

GCD(698, 541) = 377618 / 377618

GCD(698, 541) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 698, 541, 89, 730 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 391, 48, 890
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• GCD of 908, 815, 90, 347
• GCD of 209, 364, 46, 789
• GCD of 666, 542, 39, 646

1. What is the GCD of 698, 541, 89, 730?

GCD of 698, 541, 89, 730 is 1

2. Where do I get the detailed procedure to find GCD of 698, 541, 89, 730?

You can find a detailed procedure to find GCD of 698, 541, 89, 730 on our page.

3. How to find GCD of 698, 541, 89, 730 on a calculator?

You can find the GCD of 698, 541, 89, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.