GCD of 735, 620, 23, 575 Calculator

Given Input numbers are 735, 620, 23, 575

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 735, 620, 23, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 620, 23, 575 is 1.

Therefore, GCD of numbers 735, 620, 23, 575 is 1

Given Input Data is 735, 620, 23, 575

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

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

Prime Factorization of 23 is 23

Prime Factorization of 575 is 5 x 5 x 23

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(735, 620) = 91140

GCD(735, 620) = ( 735 x 620 ) / 91140

GCD(735, 620) = 455700 / 91140

GCD(735, 620) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 23

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

LCM(5, 23) = 115

GCD(5, 23) = ( 5 x 23 ) / 115

GCD(5, 23) = 115 / 115

GCD(5, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

GCD of 735, 620, 23, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 250, 11, 772
• GCD of 270, 663, 68, 660
• GCD of 333, 149, 32, 498
• GCD of 853, 743, 86, 228
• GCD of 758, 804, 25, 802

1. What is the GCD of 735, 620, 23, 575?

GCD of 735, 620, 23, 575 is 1

2. Where do I get the detailed procedure to find GCD of 735, 620, 23, 575?

You can find a detailed procedure to find GCD of 735, 620, 23, 575 on our page.

3. How to find GCD of 735, 620, 23, 575 on a calculator?

You can find the GCD of 735, 620, 23, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.