GCD of 735, 596, 60, 614 Calculator

Given Input numbers are 735, 596, 60, 614

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 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 735, 596, 60, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 596, 60, 614 is 1.

Therefore, GCD of numbers 735, 596, 60, 614 is 1

Given Input Data is 735, 596, 60, 614

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 596 is 2 x 2 x 149

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 614 is 2 x 307

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, 596) = 438060

GCD(735, 596) = ( 735 x 596 ) / 438060

GCD(735, 596) = 438060 / 438060

GCD(735, 596) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 735, 596, 60, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 409, 245, 97, 824
• GCD of 507, 239, 97, 192
• GCD of 803, 213, 20, 578
• GCD of 184, 755, 92, 746
• GCD of 357, 637, 86, 855

1. What is the GCD of 735, 596, 60, 614?

GCD of 735, 596, 60, 614 is 1

2. Where do I get the detailed procedure to find GCD of 735, 596, 60, 614?

You can find a detailed procedure to find GCD of 735, 596, 60, 614 on our page.

3. How to find GCD of 735, 596, 60, 614 on a calculator?

You can find the GCD of 735, 596, 60, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.