GCD of 217, 741, 87, 699 Calculator

Given Input numbers are 217, 741, 87, 699

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 217, 741, 87, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 741, 87, 699 is 1.

Therefore, GCD of numbers 217, 741, 87, 699 is 1

Given Input Data is 217, 741, 87, 699

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 87 is 3 x 29

Prime Factorization of 699 is 3 x 233

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(217, 741) = 160797

GCD(217, 741) = ( 217 x 741 ) / 160797

GCD(217, 741) = 160797 / 160797

GCD(217, 741) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 217, 741, 87, 699 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 616, 36, 363
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1. What is the GCD of 217, 741, 87, 699?

GCD of 217, 741, 87, 699 is 1

2. Where do I get the detailed procedure to find GCD of 217, 741, 87, 699?

You can find a detailed procedure to find GCD of 217, 741, 87, 699 on our page.

3. How to find GCD of 217, 741, 87, 699 on a calculator?

You can find the GCD of 217, 741, 87, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.