GCD of 702, 303, 217, 523 Calculator

Given Input numbers are 702, 303, 217, 523

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

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 217

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

1, 7, 31, 217

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 702, 303, 217, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 303, 217, 523 is 1.

Therefore, GCD of numbers 702, 303, 217, 523 is 1

Given Input Data is 702, 303, 217, 523

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

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 217 is 7 x 31

Prime Factorization of 523 is 523

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(702, 303) = 70902

GCD(702, 303) = ( 702 x 303 ) / 70902

GCD(702, 303) = 212706 / 70902

GCD(702, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 217

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

LCM(3, 217) = 651

GCD(3, 217) = ( 3 x 217 ) / 651

GCD(3, 217) = 651 / 651

GCD(3, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 702, 303, 217, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 688, 444, 319
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• GCD of 653, 774, 857, 478
• GCD of 179, 784, 721, 356
• GCD of 257, 290, 171, 480

1. What is the GCD of 702, 303, 217, 523?

GCD of 702, 303, 217, 523 is 1

2. Where do I get the detailed procedure to find GCD of 702, 303, 217, 523?

You can find a detailed procedure to find GCD of 702, 303, 217, 523 on our page.

3. How to find GCD of 702, 303, 217, 523 on a calculator?

You can find the GCD of 702, 303, 217, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.