GCD of 708, 724, 21, 620 Calculator

Given Input numbers are 708, 724, 21, 620

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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

Greatest Common Divisior

We found the divisors of 708, 724, 21, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 724, 21, 620 is 1.

Therefore, GCD of numbers 708, 724, 21, 620 is 1

Given Input Data is 708, 724, 21, 620

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 21 is 3 x 7

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

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(708, 724) = 128148

GCD(708, 724) = ( 708 x 724 ) / 128148

GCD(708, 724) = 512592 / 128148

GCD(708, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 620

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

LCM(1, 620) = 620

GCD(1, 620) = ( 1 x 620 ) / 620

GCD(1, 620) = 620 / 620

GCD(1, 620) = 1

GCD of 708, 724, 21, 620 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 816, 87, 583
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• GCD of 569, 654, 38, 466
• GCD of 435, 252, 24, 650

1. What is the GCD of 708, 724, 21, 620?

GCD of 708, 724, 21, 620 is 1

2. Where do I get the detailed procedure to find GCD of 708, 724, 21, 620?

You can find a detailed procedure to find GCD of 708, 724, 21, 620 on our page.

3. How to find GCD of 708, 724, 21, 620 on a calculator?

You can find the GCD of 708, 724, 21, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.