GCD of 735, 114, 268, 709 Calculator

Given Input numbers are 735, 114, 268, 709

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 735, 114, 268, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 114, 268, 709 is 1.

Therefore, GCD of numbers 735, 114, 268, 709 is 1

Given Input Data is 735, 114, 268, 709

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 114 is 2 x 3 x 19

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 709 is 709

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, 114) = 27930

GCD(735, 114) = ( 735 x 114 ) / 27930

GCD(735, 114) = 83790 / 27930

GCD(735, 114) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 268

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

LCM(3, 268) = 804

GCD(3, 268) = ( 3 x 268 ) / 804

GCD(3, 268) = 804 / 804

GCD(3, 268) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 735, 114, 268, 709 is 1

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1. What is the GCD of 735, 114, 268, 709?

GCD of 735, 114, 268, 709 is 1

2. Where do I get the detailed procedure to find GCD of 735, 114, 268, 709?

You can find a detailed procedure to find GCD of 735, 114, 268, 709 on our page.

3. How to find GCD of 735, 114, 268, 709 on a calculator?

You can find the GCD of 735, 114, 268, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.