GCD of 739, 105, 65, 105 Calculator

Given Input numbers are 739, 105, 65, 105

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

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 739, 105, 65, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 105, 65, 105 is 1.

Therefore, GCD of numbers 739, 105, 65, 105 is 1

Given Input Data is 739, 105, 65, 105

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

Prime Factorization of 739 is 739

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 65 is 5 x 13

Prime Factorization of 105 is 3 x 5 x 7

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(739, 105) = 77595

GCD(739, 105) = ( 739 x 105 ) / 77595

GCD(739, 105) = 77595 / 77595

GCD(739, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 739, 105, 65, 105 is 1

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1. What is the GCD of 739, 105, 65, 105?

GCD of 739, 105, 65, 105 is 1

2. Where do I get the detailed procedure to find GCD of 739, 105, 65, 105?

You can find a detailed procedure to find GCD of 739, 105, 65, 105 on our page.

3. How to find GCD of 739, 105, 65, 105 on a calculator?

You can find the GCD of 739, 105, 65, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.