GCD of 735, 391, 70, 516 Calculator

Given Input numbers are 735, 391, 70, 516

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 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 735, 391, 70, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 391, 70, 516 is 1.

Therefore, GCD of numbers 735, 391, 70, 516 is 1

Given Input Data is 735, 391, 70, 516

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 391 is 17 x 23

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 516 is 2 x 2 x 3 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(735, 391) = 287385

GCD(735, 391) = ( 735 x 391 ) / 287385

GCD(735, 391) = 287385 / 287385

GCD(735, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 735, 391, 70, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 486, 77, 187
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1. What is the GCD of 735, 391, 70, 516?

GCD of 735, 391, 70, 516 is 1

2. Where do I get the detailed procedure to find GCD of 735, 391, 70, 516?

You can find a detailed procedure to find GCD of 735, 391, 70, 516 on our page.

3. How to find GCD of 735, 391, 70, 516 on a calculator?

You can find the GCD of 735, 391, 70, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.