GCD of 106, 709, 58, 738 Calculator

Given Input numbers are 106, 709, 58, 738

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 709

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

1, 709

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 106, 709, 58, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 709, 58, 738 is 1.

Therefore, GCD of numbers 106, 709, 58, 738 is 1

Given Input Data is 106, 709, 58, 738

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 709 is 709

Prime Factorization of 58 is 2 x 29

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(106, 709) = 75154

GCD(106, 709) = ( 106 x 709 ) / 75154

GCD(106, 709) = 75154 / 75154

GCD(106, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 106, 709, 58, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 176, 10, 576
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• GCD of 726, 214, 49, 673
• GCD of 889, 600, 22, 505

1. What is the GCD of 106, 709, 58, 738?

GCD of 106, 709, 58, 738 is 1

2. Where do I get the detailed procedure to find GCD of 106, 709, 58, 738?

You can find a detailed procedure to find GCD of 106, 709, 58, 738 on our page.

3. How to find GCD of 106, 709, 58, 738 on a calculator?

You can find the GCD of 106, 709, 58, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.