GCD of 620, 724, 699, 688 Calculator

Given Input numbers are 620, 724, 699, 688

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

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 699

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

1, 3, 233, 699

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 620, 724, 699, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 620, 724, 699, 688 is 1.

Therefore, GCD of numbers 620, 724, 699, 688 is 1

Given Input Data is 620, 724, 699, 688

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

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 699 is 3 x 233

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(620, 724) = 112220

GCD(620, 724) = ( 620 x 724 ) / 112220

GCD(620, 724) = 448880 / 112220

GCD(620, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 699

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

LCM(4, 699) = 2796

GCD(4, 699) = ( 4 x 699 ) / 2796

GCD(4, 699) = 2796 / 2796

GCD(4, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 620, 724, 699, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 871, 320, 665
• GCD of 101, 899, 229, 725
• GCD of 686, 832, 216, 365
• GCD of 688, 803, 170, 753
• GCD of 569, 658, 771, 921

1. What is the GCD of 620, 724, 699, 688?

GCD of 620, 724, 699, 688 is 1

2. Where do I get the detailed procedure to find GCD of 620, 724, 699, 688?

You can find a detailed procedure to find GCD of 620, 724, 699, 688 on our page.

3. How to find GCD of 620, 724, 699, 688 on a calculator?

You can find the GCD of 620, 724, 699, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.